Ideal op amp
Real op amp
Infinite bandwidth: all frequency signals are amplified without attenuation.
Each op amp has its specific gain-bandwidth product: input frequency should not exceed this particular frequency range at the desired gain.
Infinite input impedance: in order not to affect upstream circuitry.
Very high, but finite input impedance.
Zero output impedance: in order not to affect downstream circuitry.
Very low, but not zero output impedance.