23211112965120 has 1408 divisors, whose sum is σ = 90665920512000. Its totient is φ = 5609190850560.

The previous prime is 23211112965119. The next prime is 23211112965163. The reversal of 23211112965120 is 2156921111232.

23211112965120 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 11 + 129 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×23211112965120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7246677439 + ... + 7246680641.

Almost surely, 2^{23211112965120} is an apocalyptic number.

23211112965120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211112965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45332960256000).

23211112965120 is an abundant number, since it is smaller than the sum of its proper divisors (67454807546880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23211112965120 is a wasteful number, since it uses less digits than its factorization.

23211112965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 23211112965120 in words is "twenty-three trillion, two hundred eleven billion, one hundred twelve million, nine hundred sixty-five thousand, one hundred twenty".