123615605051232 has 192 divisors, whose sum is σ = 371241498378240. Its totient is φ = 35281170123264.

The previous prime is 123615605051207. The next prime is 123615605051251. The reversal of 123615605051232 is 232150506516321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3812573773 + ... + 3812606195.

It is an arithmetic number, because the mean of its divisors is an integer number (1933549470720).

Almost surely, 2^{123615605051232} is an apocalyptic number.

123615605051232 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 123615605051232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185620749189120).

123615605051232 is an abundant number, since it is smaller than the sum of its proper divisors (247625893327008).

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

123615605051232 is a wasteful number, since it uses less digits than its factorization.

123615605051232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38305 (or 38297 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 123615605051232 in words is "one hundred twenty-three trillion, six hundred fifteen billion, six hundred five million, fifty-one thousand, two hundred thirty-two".