12912958240 has 576 divisors, whose sum is σ = 40695395328. Its totient is φ = 3832012800.

The previous prime is 12912958231. The next prime is 12912958259. The reversal of 12912958240 is 4285921921.

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, 192730687 + ... + 192730753.

It is an arithmetic number, because the mean of its divisors is an integer number (70651728).

Almost surely, 2^12912958240 is an apocalyptic number.

12912958240 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 12912958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347697664).

12912958240 is an abundant number, since it is smaller than the sum of its proper divisors (27782437088).

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

12912958240 is a wasteful number, since it uses less digits than its factorization.

12912958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 12912958240 in words is "twelve billion, nine hundred twelve million, nine hundred fifty-eight thousand, two hundred forty".