123315325540224 has 128 divisors (see below), whose sum is σ = 338385022848000. Its totient is φ = 39748271861760.

The previous prime is 123315325540217. The next prime is 123315325540247. The reversal of 123315325540224 is 422045523513321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11325967 + ... + 19362545.

It is an arithmetic number, because the mean of its divisors is an integer number (2643632991000).

Almost surely, 2^{123315325540224} 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 123315325540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169192511424000).

123315325540224 is an abundant number, since it is smaller than the sum of its proper divisors (215069697307776).

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

123315325540224 is a wasteful number, since it uses less digits than its factorization.

123315325540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8037916 (or 8037904 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 123315325540224 in words is "one hundred twenty-three trillion, three hundred fifteen billion, three hundred twenty-five million, five hundred forty thousand, two hundred twenty-four".