12671727872331 has 16 divisors (see below), whose sum is σ = 18432930192768. Its totient is φ = 7679282568000.

The previous prime is 12671727872329. The next prime is 12671727872339. The reversal of 12671727872331 is 13327872717621.

It is a happy number.

It is not a de Polignac number, because 12671727872331 - 2¹ = 12671727872329 is a prime.

It is a super-2 number, since 2×12671727872331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12671727872339) 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, 13346770 + ... + 14264631.

It is an arithmetic number, because the mean of its divisors is an integer number (1152058137048).

Almost surely, 2^{12671727872331} is an apocalyptic number.

12671727872331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12671727872331 is a deficient number, since it is larger than the sum of its proper divisors (5761202320437).

12671727872331 is a wasteful number, since it uses less digits than its factorization.

12671727872331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27625322.

The product of its digits is 8297856, while the sum is 57.

The spelling of 12671727872331 in words is "twelve trillion, six hundred seventy-one billion, seven hundred twenty-seven million, eight hundred seventy-two thousand, three hundred thirty-one".