12167677676671 has 12 divisors (see below), whose sum is σ = 13747331874744. Its totient is φ = 10680093250400.

The previous prime is 12167677676639. The next prime is 12167677676681. The reversal of 12167677676671 is 17667677676121.

It is not a de Polignac number, because 12167677676671 - 2⁵ = 12167677676639 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12167677676671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167677676681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657631960 + ... + 657650461.

It is an arithmetic number, because the mean of its divisors is an integer number (1145610989562).

Almost surely, 2^{12167677676671} is an apocalyptic number.

12167677676671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12167677676671 is a deficient number, since it is larger than the sum of its proper divisors (1579654198073).

12167677676671 is a wasteful number, since it uses less digits than its factorization.

12167677676671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315282490 (or 1315282461 counting only the distinct ones).

The product of its digits is 261382464, while the sum is 70.

The spelling of 12167677676671 in words is "twelve trillion, one hundred sixty-seven billion, six hundred seventy-seven million, six hundred seventy-six thousand, six hundred seventy-one".