12930871296 has 416 divisors, whose sum is σ = 43028305920. Its totient is φ = 3369074688.

The previous prime is 12930871253. The next prime is 12930871307. The reversal of 12930871296 is 69217803921.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 54103945 + ... + 54104183.

Almost surely, 2^12930871296 is an apocalyptic number.

12930871296 is a gapful number since it is divisible by the number (16) 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 12930871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21514152960).

12930871296 is an abundant number, since it is smaller than the sum of its proper divisors (30097434624).

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

12930871296 is a wasteful number, since it uses less digits than its factorization.

12930871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 12930871296 in words is "twelve billion, nine hundred thirty million, eight hundred seventy-one thousand, two hundred ninety-six".