12167655676671 has 32 divisors (see below), whose sum is σ = 18083660645376. Its totient is φ = 7213965824000.

The previous prime is 12167655676613. The next prime is 12167655676679. The reversal of 12167655676671 is 17667655676121.

12167655676671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12167655676671 - 2⁶ = 12167655676607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167655676679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342711 + ... + 5112551.

It is an arithmetic number, because the mean of its divisors is an integer number (565114395168).

Almost surely, 2^{12167655676671} is an apocalyptic number.

12167655676671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12167655676671 is a deficient number, since it is larger than the sum of its proper divisors (5916004968705).

12167655676671 is a wasteful number, since it uses less digits than its factorization.

12167655676671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771983.

The product of its digits is 133358400, while the sum is 66.

The spelling of 12167655676671 in words is "twelve trillion, one hundred sixty-seven billion, six hundred fifty-five million, six hundred seventy-six thousand, six hundred seventy-one".