12125011052121 has 64 divisors (see below), whose sum is σ = 18452819589120. Its totient is φ = 7017425856000.

The previous prime is 12125011052071. The next prime is 12125011052129.

12125011052121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-12125011052121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12125011052091 and 12125011052100.

It is not an unprimeable number, because it can be changed into a prime (12125011052129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12898731 + ... + 13806783.

It is an arithmetic number, because the mean of its divisors is an integer number (288325306080).

Almost surely, 2^{12125011052121} is an apocalyptic number.

12125011052121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12125011052121 is a deficient number, since it is larger than the sum of its proper divisors (6327808536999).

12125011052121 is a wasteful number, since it uses less digits than its factorization.

12125011052121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908318.

The product of its (nonzero) digits is 400, while the sum is 24.

It can be divided in two parts, 1212501 and 1052121, that added together give a palindrome (2264622).

The spelling of 12125011052121 in words is "twelve trillion, one hundred twenty-five billion, eleven million, fifty-two thousand, one hundred twenty-one".