12681138185672 has 64 divisors (see below), whose sum is σ = 25986113496000. Its totient is φ = 5753621744640.

The previous prime is 12681138185671. The next prime is 12681138185687. The reversal of 12681138185672 is 27658183118621.

It is a super-2 number, since 2×12681138185672² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12681138185671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171680204 + ... + 171754052.

It is an arithmetic number, because the mean of its divisors is an integer number (406033023375).

Almost surely, 2^{12681138185672} is an apocalyptic number.

It is an amenable number.

12681138185672 is an abundant number, since it is smaller than the sum of its proper divisors (13304975310328).

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

12681138185672 is a wasteful number, since it uses less digits than its factorization.

12681138185672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77406 (or 77402 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 59.

The spelling of 12681138185672 in words is "twelve trillion, six hundred eighty-one billion, one hundred thirty-eight million, one hundred eighty-five thousand, six hundred seventy-two".