123140253254400 has 324 divisors, whose sum is σ = 448560891546768. Its totient is φ = 32217826467840.

The previous prime is 123140253254399. The next prime is 123140253254419. The reversal of 123140253254400 is 4452352041321.

It is a happy number.

123140253254400 is a `hidden beast` number, since 1 + 2 + 3 + 140 + 2 + 53 + 25 + 440 + 0 = 666.

It is a super-2 number, since 2×123140253254400² (a number of 29 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17115612 + ... + 23221211.

It is an arithmetic number, because the mean of its divisors is an integer number (1384447196132).

Almost surely, 2^{123140253254400} is an apocalyptic number.

123140253254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123140253254400 is an abundant number, since it is smaller than the sum of its proper divisors (325420638292368).

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

123140253254400 is a wasteful number, since it uses less digits than its factorization.

123140253254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40336908 (or 40336886 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 123140253254400 in words is "one hundred twenty-three trillion, one hundred forty billion, two hundred fifty-three million, two hundred fifty-four thousand, four hundred".