Duodeciquadringentillion

A duodeciquadringentillion is equal to \(10^{1239}\) in the short scale and \(10^{2472}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 412th -illion number.
In the long scale, \(10^{1239}\) is called seducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1239}\) (exact) 	\(1\times10^{1239}\) (exact)
Arrow notation 	\(10\uparrow 1239\) (exact) 	\(10\uparrow 1239\) (exact)
Steinhaus-Moser Notation 	464[3] 	465[3]
Chained arrow notation 	\(10\rightarrow 1239\) (exact) 	\(10\rightarrow 1239\) (exact)
Taro's multivariable Ackermann function	A(3,4112) 	A(3,4113)
BEAF & Bird's array notation 	{10,1239} (exact) 	{10,1239} (exact)
Hyper-E notation 	E1239 (exact) 	E1239 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(464) 	m(1)(465)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4103)\) 	\(f_2(4104)\)
Hardy hierarchy 	\(H_{\omega^2}(4103)\) 	\(H_{\omega^2}(4104)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 3+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 3+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2472}\) (exact) 	\(1\times10^{2472}\) (exact)
Arrow notation 	\(10\uparrow 2472\) (exact) 	\(10\uparrow 2472\) (exact)
Steinhaus-Moser Notation 	844[3] 	845[3]
Chained arrow notation 	\(10\rightarrow 2472\) (exact) 	\(10\rightarrow 2472\) (exact)
Taro's multivariable Ackermann function	A(3,8208) 	A(3,8209)
BEAF & Bird's array notation 	{10,2472} (exact) 	{10,2472} (exact)
Hyper-E notation 	E2472 (exact) 	E2472 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(844) 	m(1)(845)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8198)\) 	\(f_2(8199)\)
Hardy hierarchy 	\(H_{\omega^2}(8198)\) 	\(H_{\omega^2}(8199)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 7+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers