123625404790272 has 800 divisors, whose sum is σ = 475902340657920. Its totient is φ = 31003213086720.

The previous prime is 123625404790249. The next prime is 123625404790289. The reversal of 123625404790272 is 272097404526321.

123625404790272 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 2 + 540 + 4 + 7 + 90 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91939503 + ... + 93274449.

Almost surely, 2^{123625404790272} is an apocalyptic number.

123625404790272 is a gapful number since it is divisible by the number (12) 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 123625404790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237951170328960).

123625404790272 is an abundant number, since it is smaller than the sum of its proper divisors (352276935867648).

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

123625404790272 is a wasteful number, since it uses less digits than its factorization.

123625404790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335024 (or 1334999 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 123625404790272 in words is "one hundred twenty-three trillion, six hundred twenty-five billion, four hundred four million, seven hundred ninety thousand, two hundred seventy-two".