12135253121 has 16 divisors (see below), whose sum is σ = 12432053760. Its totient is φ = 11842459200.

The previous prime is 12135253111. The next prime is 12135253129.

12135253121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12135253121 - 2³⁰ = 11061511297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12135253129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6805196 + ... + 6806978.

It is an arithmetic number, because the mean of its divisors is an integer number (777003360).

Almost surely, 2^12135253121 is an apocalyptic number.

It is an amenable number.

12135253121 is a deficient number, since it is larger than the sum of its proper divisors (296800639).

12135253121 is a wasteful number, since it uses less digits than its factorization.

12135253121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816.

The product of its digits is 1800, while the sum is 26.

The spelling of 12135253121 in words is "twelve billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred twenty-one".