123531505123504 has 80 divisors (see below), whose sum is σ = 255152320206336. Its totient is φ = 57735540864000.

The previous prime is 123531505123483. The next prime is 123531505123511. The reversal of 123531505123504 is 405321505135321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199752979 + ... + 200370445.

Almost surely, 2^{123531505123504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123531505123504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127576160103168).

123531505123504 is an abundant number, since it is smaller than the sum of its proper divisors (131620815082832).

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

123531505123504 is a wasteful number, since it uses less digits than its factorization.

123531505123504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622514 (or 622508 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 123531505123504 in words is "one hundred twenty-three trillion, five hundred thirty-one billion, five hundred five million, one hundred twenty-three thousand, five hundred four".