12677182113105 has 24 divisors (see below), whose sum is σ = 21980823195240. Its totient is φ = 6758997373440.

The previous prime is 12677182113091. The next prime is 12677182113107. The reversal of 12677182113105 is 50131128177621.

12677182113105 is a `hidden beast` number, since 1 + 267 + 71 + 8 + 2 + 1 + 1 + 310 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 620780106816 + 12056402006289 = 787896^2 + 3472233^2 .

It is not a de Polignac number, because 12677182113105 - 2²⁴ = 12677165335889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12677182113107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44991750 + ... + 45272639.

It is an arithmetic number, because the mean of its divisors is an integer number (915867633135).

Almost surely, 2^{12677182113105} is an apocalyptic number.

12677182113105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12677182113105 is a deficient number, since it is larger than the sum of its proper divisors (9303641082135).

12677182113105 is a wasteful number, since it uses less digits than its factorization.

12677182113105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90267521 (or 90267518 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 12677182113105 in words is "twelve trillion, six hundred seventy-seven billion, one hundred eighty-two million, one hundred thirteen thousand, one hundred five".