12407932320 has 192 divisors, whose sum is σ = 45619531776. Its totient is φ = 2775720960.

The previous prime is 12407932319. The next prime is 12407932333. The reversal of 12407932320 is 2323970421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118635 + ... + 197205.

It is an arithmetic number, because the mean of its divisors is an integer number (237601728).

Almost surely, 2^12407932320 is an apocalyptic number.

12407932320 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 12407932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809765888).

12407932320 is an abundant number, since it is smaller than the sum of its proper divisors (33211599456).

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

12407932320 is a wasteful number, since it uses less digits than its factorization.

12407932320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78643 (or 78635 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 12407932320 in words is "twelve billion, four hundred seven million, nine hundred thirty-two thousand, three hundred twenty".