12105316125 has 48 divisors (see below), whose sum is σ = 24939273216. Its totient is φ = 5533855200.

The previous prime is 12105316087. The next prime is 12105316127. The reversal of 12105316125 is 52161350121.

12105316125 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 531 + 6 + 125 = 666.

12105316125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12105316125 - 2²⁸ = 11836880669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105316127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760717 + ... + 776466.

It is an arithmetic number, because the mean of its divisors is an integer number (519568192).

Almost surely, 2^12105316125 is an apocalyptic number.

12105316125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12105316125 is an abundant number, since it is smaller than the sum of its proper divisors (12833957091).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12105316125 is a wasteful number, since it uses less digits than its factorization.

12105316125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537211 (or 1537198 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 12105316125 its reverse (52161350121), we get a palindrome (64266666246).

The spelling of 12105316125 in words is "twelve billion, one hundred five million, three hundred sixteen thousand, one hundred twenty-five".