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12321 is the number following 12320 and preceding 12322.

Properties

  • 12321 is a centered octagonal number.[9]
  • 12321 is deficient.[10]
  • Its prime factorization is 32 × 372.
  • 12321 is a palindromic number, meaning it is the same forwards and reverse.[11][12]
  • 12321 is a Harshad number, meaning it is divisible by the sum of its digits.[13]


Approximations

Notation Lower bound Upper bound
Up-arrow notation 111 ↑ 2
Scientific notation 1.232 x 104 1.233 x 104
Slow-growing hierarchy \(g_{\omega^{\omega}}(5)\) \(g_{\omega^{\omega}}(6)\)
Copy notation 1[5] 2[5]
Chained arrow notation 111 → 2
Bowers' Exploding Array Function/Bird's array notation {111,2}
Fast-growing hierarchy f2(10) f2(11)
Hardy hierarchy Hω(6160) Hω(6161)
Middle-growing hierarchy m(ω,13) m(ω,14)
Hyper-E notation E4.0906
Hyper-E notation (non-10 base) \(E[111]2\)
Hyperfactorial array notation 7! 8!
X-Sequence Hyper-Exponential Notation 111{1}2
Steinhaus-Moser Notation 5[3] 6[3]
PlantStar's Debut Notation [2] [3]
H* function H(0.3) H(0.4)
Bashicu matrix system with respect to version 4 (0)[111] (0)[111]
m(n) map m(1)(5) m(1)(6)
s(n) map \(s(1)(\lambda x . x+1)(6159)\) \(s(1)(\lambda x . x+1)(6160)\)

Sources