123525442125100 has 72 divisors (see below), whose sum is σ = 272065274707968. Its totient is φ = 48670150267200.

The previous prime is 123525442125083. The next prime is 123525442125101. The reversal of 123525442125100 is 1521244525321.

It is a self number, because there is not a number n which added to its sum of digits gives 123525442125100.

It is not an unprimeable number, because it can be changed into a prime (123525442125101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129444309 + ... + 130395091.

It is an arithmetic number, because the mean of its divisors is an integer number (3778684370944).

Almost surely, 2^{123525442125100} is an apocalyptic number.

123525442125100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123525442125100 is an abundant number, since it is smaller than the sum of its proper divisors (148539832582868).

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

123525442125100 is a wasteful number, since it uses less digits than its factorization.

123525442125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970255 (or 970248 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 123525442125100 in words is "one hundred twenty-three trillion, five hundred twenty-five billion, four hundred forty-two million, one hundred twenty-five thousand, one hundred".