12951383120640 has 288 divisors, whose sum is σ = 48662919668160. Its totient is φ = 3250543067136.

The previous prime is 12951383120639. The next prime is 12951383120653. The reversal of 12951383120640 is 4602138315921.

12951383120640 is a `hidden beast` number, since 1 + 2 + 9 + 513 + 8 + 3 + 120 + 6 + 4 + 0 = 666.

12951383120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10434559 + ... + 11609598.

It is an arithmetic number, because the mean of its divisors is an integer number (168968471070).

Almost surely, 2^{12951383120640} is an apocalyptic number.

12951383120640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12951383120640 is an abundant number, since it is smaller than the sum of its proper divisors (35711536547520).

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

12951383120640 is a wasteful number, since it uses less digits than its factorization.

12951383120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22044204 (or 22044184 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12951383120640 in words is "twelve trillion, nine hundred fifty-one billion, three hundred eighty-three million, one hundred twenty thousand, six hundred forty".