123124312132032 has 224 divisors, whose sum is σ = 333017226572800. Its totient is φ = 40138023923712.

The previous prime is 123124312132007. The next prime is 123124312132033. The reversal of 123124312132032 is 230231213421321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123124312132033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6657878178 + ... + 6657896670.

It is an arithmetic number, because the mean of its divisors is an integer number (1486684047200).

Almost surely, 2^{123124312132032} is an apocalyptic number.

123124312132032 is a gapful number since it is divisible by the number (12) 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 123124312132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166508613286400).

123124312132032 is an abundant number, since it is smaller than the sum of its proper divisors (209892914440768).

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

123124312132032 is a wasteful number, since it uses less digits than its factorization.

123124312132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723 (or 22713 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 123124312132032 its reverse (230231213421321), we get a palindrome (353355525553353).

The spelling of 123124312132032 in words is "one hundred twenty-three trillion, one hundred twenty-four billion, three hundred twelve million, one hundred thirty-two thousand, thirty-two".