12304321407920 has 160 divisors (see below), whose sum is σ = 29371600097280. Its totient is φ = 4792051031040.

The previous prime is 12304321407899. The next prime is 12304321407949. The reversal of 12304321407920 is 2970412340321.

12304321407920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12304321407920² (a number of 27 digits) contains 22 as substring.

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, 2096490746 + ... + 2096496614.

It is an arithmetic number, because the mean of its divisors is an integer number (183572500608).

Almost surely, 2^{12304321407920} is an apocalyptic number.

12304321407920 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 12304321407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685800048640).

12304321407920 is an abundant number, since it is smaller than the sum of its proper divisors (17067278689360).

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

12304321407920 is a wasteful number, since it uses less digits than its factorization.

12304321407920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 12304321407920 in words is "twelve trillion, three hundred four billion, three hundred twenty-one million, four hundred seven thousand, nine hundred twenty".