123313112122000 has 80 divisors (see below), whose sum is σ = 302255641155312. Its totient is φ = 48649556505600.

The previous prime is 123313112121977. The next prime is 123313112122037. The reversal of 123313112122000 is 221211313321.

It can be written as a sum of positive squares in 8 ways, for example, as 59608961427856 + 63704150694144 = 7720684^2 + 7981488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123313112122000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422159179 + ... + 422451178.

Almost surely, 2^{123313112122000} is an apocalyptic number.

123313112122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313112122000 is an abundant number, since it is smaller than the sum of its proper divisors (178942529033312).

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

123313112122000 is an equidigital number, since it uses as much as digits as its factorization.

123313112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844610453 (or 844610437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123313112122000 its reverse (221211313321), we get a palindrome (123534323435321).

The spelling of 123313112122000 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred twelve million, one hundred twenty-two thousand".