12683159127072 has 96 divisors (see below), whose sum is σ = 42277197110400. Its totient is φ = 3623759748864.

The previous prime is 12683159127061. The next prime is 12683159127097. The reversal of 12683159127072 is 27072195138621.

12683159127072 is a `hidden beast` number, since 1 + 26 + 8 + 3 + 1 + 591 + 27 + 0 + 7 + 2 = 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, 1048535547 + ... + 1048547642.

It is an arithmetic number, because the mean of its divisors is an integer number (440387469900).

Almost surely, 2^{12683159127072} is an apocalyptic number.

12683159127072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12683159127072 is an abundant number, since it is smaller than the sum of its proper divisors (29594037983328).

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

12683159127072 is a wasteful number, since it uses less digits than its factorization.

12683159127072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097083215 (or 2097083201 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12683159127072 in words is "twelve trillion, six hundred eighty-three billion, one hundred fifty-nine million, one hundred twenty-seven thousand, seventy-two".