12923032320 has 648 divisors, whose sum is σ = 50212151808. Its totient is φ = 3065610240.

The previous prime is 12923032319. The next prime is 12923032337. The reversal of 12923032320 is 2323032921.

12923032320 is a `hidden beast` number, since 1 + 292 + 30 + 323 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101756097 + ... + 101756223.

Almost surely, 2^12923032320 is an apocalyptic number.

12923032320 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 12923032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106075904).

12923032320 is an abundant number, since it is smaller than the sum of its proper divisors (37289119488).

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

12923032320 is a wasteful number, since it uses less digits than its factorization.

12923032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 12923032320 in words is "twelve billion, nine hundred twenty-three million, thirty-two thousand, three hundred twenty".