12712728390912 has 288 divisors, whose sum is σ = 42794500008960. Its totient is φ = 3684848302080.

The previous prime is 12712728390883. The next prime is 12712728390949. The reversal of 12712728390912 is 21909382721721.

12712728390912 is a `hidden beast` number, since 1 + 27 + 127 + 28 + 390 + 91 + 2 = 666.

12712728390912 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 super-2 number, since 2×12712728390912² (a number of 27 digits) contains 22 as substring.

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

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, 1886098 + ... + 5383569.

It is an arithmetic number, because the mean of its divisors is an integer number (148592013920).

Almost surely, 2^{12712728390912} is an apocalyptic number.

12712728390912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12712728390912 is an abundant number, since it is smaller than the sum of its proper divisors (30081771618048).

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

12712728390912 is a wasteful number, since it uses less digits than its factorization.

12712728390912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269726 (or 7269706 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12712728390912 in words is "twelve trillion, seven hundred twelve billion, seven hundred twenty-eight million, three hundred ninety thousand, nine hundred twelve".