# Mongolian numerals

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Mongolian numerals are numerals developed from Tibetan numerals and used in conjunction with the Mongolian and Clear script.$^{:28}$ They are still used on Mongolian tögrög banknotes.
The main sources of reference for Mongolian numerals are mathematical and philosophical works of Janj khutugtu A.Rolbiidorj (1717-1766) and D.Injinaash (1704-1788). Rolbiidorj exercises with numerals of up to 10$^{66}$, the last number which he called “setgeshgui” or “unimaginable” referring to the concept of infinity. Injinaash works with numerals of up to 10$^{59}$. Of these two scholars, the Rolbiidorj’s numerals, their names and sequencing are commonly accepted and used today, for example, in the calculations and documents pertaining to the Mongolian Government budget.

## Base numbers

Numbers from 1 to 9 are referred to as "dan", meaning "simple".
| # | Mongolian numerals | Mongolian numerals | Tibetan numerals |
| # | Upright$^{:54}$$^{:9}$$^{:103}$ | Rotated | Tibetan numerals |
| 0 | ᠐ | ᠐ | ༠ |
| 1 | ᠑ | ᠑ | ༡ |
| 2 | ᠒ | ᠒ | ༢ |
| 3 | ᠓ | ᠓ | ༣ |
| 4 | ᠔ | ᠔ | ༤ |
| 5 | ᠕ | ᠕ | ༥ |
| 6 | ᠖ | ᠖ | ༦ |
| 7 | ᠗ | ᠗ | ༧ |
| 8 | ᠘ | ᠘ | ༨ |
| 9 | ᠙ | ᠙ | ༩ |

## Extended numbers

| Name | Power Notation | Short scale Western |
| аравт (aravt) | 10 | ten |
| зуут (dzuut) | 10$^2$ | hundred |
| мянгат (myangat) | 10$^3$ | 1 thousand |
| түмт (tümt) | 10$^4$ | 10 thousand |
| бумт (bumt) | 10$^5$ | 100 thousand |
| саят (sayat) | 10$^6$ | 1 million |
| живаа (jivaa) | 10$^7$ | 10 million |
| дүнчүүр (dünchüür) | 10$^8$ | 100 million |
| тэрбум (terbum) | 10$^9$ | 1 billion |
| их тэрбум (ikh terbum) | 10$^{10}$ | 10 billion |
| наяд (nayad) | 10$^{11}$ | 100 billion |
| их наяд (ikh nayad) | 10$^{12}$ | 1 trillion |
| Тавьшгүй (Tavishgui) | 10$^{13}$ | 10 trillion |
| Их тавьшгүй (Ikh tavishgui) | 10$^{14}$ | 100 trillion |
| тунамал (tunamal) | 10$^{15}$ | 1 quadrillion |
| их тунамал (ikh tunamal) | 10$^{16}$ | 10 quadrillion |
| ингүүмэл (ingüümel) | 10$^{17}$ | 100 quadrillion |
| их ингүүмэл (ikh ingüümel) | 10$^{18}$ | 1 quintillion |
| хямралгүй (khyamralgüi) | 10$^{19}$ | 10 quintillion |
| их хямралгүй (ikh khyamralgüi) | 10$^{20}$ | 100 quintillion |
| ялгаруулагч (yalgaruulagch) | 10$^{21}$ | 1 sextillion |
| их ялгаруулагч (ikh yalgaruulagch) | 10$^{22}$ | 10 sextillion |
| өөр дээр (öör deer) | 10$^{23}$ | 100 sextillion |
| их өөр дээр (ikh öör deer) | 10$^{24}$ | 1 septillion |
| хөөн удирдагч (khöön udirdagch) | 10$^{25}$ | 10 septillion |
| их хөөн удирдагч (ikh khöön udirdagch) | 10$^{26}$ | 100 septillion |
| хязгаар үзэгдэл (khyadzgaar üdzegdel) | 10$^{27}$ | 1 octillion |
| их хязгаар үзэгдэл (ikh khyadzgaar üdzegel) | 10$^{28}$ | 10 octillion |
| шалтгааны зүйл (shaltgaany dzüyl) | 10$^{29}$ | 100 octillion |
| их шалтгааны зүйл (ikh shaltgaany dzüyl) | 10$^{30}$ | 1 nonillion |
| үзэсгэлэн гэрэлт (üdzesgelen gerelt) | 10$^{31}$ | 10 nonillion |
| их үзэсгэлэн гэрэлт (ikh üdzesgelen gerelt) | 10$^{32}$ | 100 nonillion |
| эрхт (erkht) | 10$^{33}$ | 1 decillion |
| их эрхт (ikh erkht) | 10$^{34}$ | 10 decillion |
| сайтар хүргэсэн (saytar khürgesen) | 10$^{35}$ | 100 decillion |
| их сайтар хүргэсэн (ikh saytar khürgesen) | 10$^{36}$ | 1 undecillion |
| олон одох (olon odokh) | 10$^{37}$ | 10 undecillion |
| их олон одох (ikh olon odokh) | 10$^{38}$ | 100 undecillion |
| живэх тоосон билэг (jivekh tooson bileg) | 10$^{39}$ | 1 duodecillion |
| их живэх тоосон билэг (ikh jivekh tooson bileg) | 10$^{40}$ | 10 duodecillion |
| билэг тэмдэг (bilet temdeg) | 10$^{41}$ | 100 duodecillion |
| их билэг тэмдэг (ikh bilet temdeg) | 10$^{42}$ | 1 tredecillion |
| хүчин нөхөр (khüchin nökhör) | 10$^{43}$ | 10 tredecillion |
| их хүчин нөхөр (ikh khüchin nökhör) | 10$^{44}$ | 100 tredecillion |
| тохио мэдэхүй (tokhio medekhüi) | 10$^{45}$ | 1 quattuordecillion |
| их тохио мэдэхүй (ikh tokhio medekhüi) | 10$^{46}$ | 10 quattuordecillion |
| тийн болсон (tiin bolson) | 10$^{47}$ | 100 quattuordecillion |
| их тийн болсон (ikh tiin bolson) | 10$^{48}$ | 1 quindecillion |
| хүчин нүд (khüchin nud) | 10$^{49}$ | 10 quindecillion |
| их хүчин нүд (ikh khüchin nüd) | 10$^{50}$ | 100 quindecillion |
| асрахуй (asrakhui) | 10$^{51}$ | 1 sexdecillion |
| их асрахуй (ikh asrakhui) | 10$^{52}$ | 10 sexdecillion |
| нигүүлсэнгүй (nigüülsengüi) | 10$^{53}$ | 100 sexdecillion |
| их нигүүлсэнгүй (ikh nigüülsengüi) | 10$^{54}$ | 1 septendecillion |
| баясгалангуй (bayasgalangui) | 10$^{55}$ | 10 septendecillion |
| их баясгалангуй (ikh bayasgalangui) | 10$^{56}$ | 100 septendecillion |
| тоолшгүй (toolshgüi) | 10$^{57}$ | 1 octodecillion |
| хэмжээлшгүй (khemjeelshgüi) | 10$^{58}$ | 10 octodecillion |
| цаглашгүй (tsaglashgüi) | 10$^{59}$ | 100 octodecillion |
| өгүүлшгүй (ögüülshgüi) | 10$^{60}$ | 1 novemdecillion |
| хэрэглэшгүй (kheregleshgüi) | 10$^{61}$ | 10 novemdecillion |
| үйлдэж дуусашгүй (üildej duusashgüi) | 10$^{62}$ | 100 novemdecillion |
| үлэшгүй (üleshgüi) | 10$^{63}$ | 1 vigintillion |
| хирлэшгүй (khirleshgüi) | 10$^{64}$ | 10 vigintillion |
| үлэж дуусашгүй (ülej duusashgüi) | 10$^{65}$ | 100 vigintillion |
| сэтгэшгүй (setgeshgüi) | 10$^{66}$ | 1 unvigintillion |