123013242352520 has 128 divisors (see below), whose sum is σ = 315622593468000. Its totient is φ = 42745989758976.

The previous prime is 123013242352501. The next prime is 123013242352589. The reversal of 123013242352520 is 25253242310321.

123013242352520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 40562810783236 + 82450431569284 = 6368894^2 + 9080222^2 .

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 31 ways as a sum of consecutive naturals, for example, 153850412 + ... + 154647908.

Almost surely, 2^{123013242352520} is an apocalyptic number.

123013242352520 is a gapful number since it is divisible by the number (10) 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 123013242352520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157811296734000).

123013242352520 is an abundant number, since it is smaller than the sum of its proper divisors (192609351115480).

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

123013242352520 is a wasteful number, since it uses less digits than its factorization.

123013242352520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814987 (or 814983 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 123013242352520 its reverse (25253242310321), we get a palindrome (148266484662841).

The spelling of 123013242352520 in words is "one hundred twenty-three trillion, thirteen billion, two hundred forty-two million, three hundred fifty-two thousand, five hundred twenty".