12886315732512 has 96 divisors (see below), whose sum is σ = 37587458764800. Its totient is φ = 4295167582464.

The previous prime is 12886315732501. The next prime is 12886315732529. The reversal of 12886315732512 is 21523751368821.

12886315732512 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 6 + 31 + 573 + 25 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13471314 + ... + 14396142.

It is an arithmetic number, because the mean of its divisors is an integer number (391536028800).

Almost surely, 2^{12886315732512} is an apocalyptic number.

12886315732512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12886315732512 is an abundant number, since it is smaller than the sum of its proper divisors (24701143032288).

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

12886315732512 is a wasteful number, since it uses less digits than its factorization.

12886315732512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940975 (or 940961 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 12886315732512 in words is "twelve trillion, eight hundred eighty-six billion, three hundred fifteen million, seven hundred thirty-two thousand, five hundred twelve".