12930240960 has 672 divisors, whose sum is σ = 55384842240. Its totient is φ = 2696011776.

The previous prime is 12930240959. The next prime is 12930241003. The reversal of 12930240960 is 6904203921.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12930240960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26994001 + ... + 26994479.

It is an arithmetic number, because the mean of its divisors is an integer number (82417920).

Almost surely, 2^12930240960 is an apocalyptic number.

12930240960 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 12930240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27692421120).

12930240960 is an abundant number, since it is smaller than the sum of its proper divisors (42454601280).

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

12930240960 is a wasteful number, since it uses less digits than its factorization.

12930240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 12930240960 in words is "twelve billion, nine hundred thirty million, two hundred forty thousand, nine hundred sixty".