123310561345125 has 128 divisors (see below), whose sum is σ = 258166747238400. Its totient is φ = 50775799968000.

The previous prime is 123310561345099. The next prime is 123310561345129. The reversal of 123310561345125 is 521543165013321.

It is not a de Polignac number, because 123310561345125 - 2¹¹ = 123310561343077 is a prime.

It is a super-2 number, since 2×123310561345125² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123310561345129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16442055 + ... + 22736804.

It is an arithmetic number, because the mean of its divisors is an integer number (2016927712800).

Almost surely, 2^{123310561345125} is an apocalyptic number.

123310561345125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123310561345125 is an abundant number, since it is smaller than the sum of its proper divisors (134856185893275).

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

123310561345125 is a wasteful number, since it uses less digits than its factorization.

123310561345125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39179004 (or 39178994 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 123310561345125 in words is "one hundred twenty-three trillion, three hundred ten billion, five hundred sixty-one million, three hundred forty-five thousand, one hundred twenty-five".