12105642113631 has 48 divisors (see below), whose sum is σ = 19148271760800. Its totient is φ = 7308814556160.

The previous prime is 12105642113597. The next prime is 12105642113681. The reversal of 12105642113631 is 13631124650121.

12105642113631 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 6 + 4 + 2 + 1 + 13 + 631 = 666.

It is not a de Polignac number, because 12105642113631 - 2⁶ = 12105642113567 is a prime.

It is a super-2 number, since 2×12105642113631² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105642113681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50606395 + ... + 50845043.

It is an arithmetic number, because the mean of its divisors is an integer number (398922328350).

Almost surely, 2^{12105642113631} is an apocalyptic number.

12105642113631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12105642113631 is a deficient number, since it is larger than the sum of its proper divisors (7042629647169).

12105642113631 is a wasteful number, since it uses less digits than its factorization.

12105642113631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240616 (or 240613 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 12105642113631 its reverse (13631124650121), we get a palindrome (25736766763752).

The spelling of 12105642113631 in words is "twelve trillion, one hundred five billion, six hundred forty-two million, one hundred thirteen thousand, six hundred thirty-one".