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123 is the number following 122 and preceding 124.

Properties[]

In googology

123 is the exponent in the short scale quadragintillion.

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 11 ↑ 2
Scientific notation 1.23 x 102 1.231 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 1[3] 2[3]
Chained arrow notation 11 → 2
Bowers' Exploding Array Function/Bird's array notation {11,2}
Fast-growing hierarchy f1(60) f1(61)
Hardy hierarchy Hω(61) Hω(62)
Middle-growing hierarchy m(ω,6) m(ω,7)
Hyper-E notation E2.0899
Hyper-E notation (non-10 base) \(E[11]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 11{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.4) H(-0.3)
Bashicu matrix system with respect to version 4 (0)[11] (0)[12]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(60)\) \(s(1)(\lambda x . x+1)(61)\)

Sources[]