12133233233121 has 256 divisors, whose sum is σ = 22620528967680. Its totient is φ = 5582483712000.

The previous prime is 12133233233111. The next prime is 12133233233153.

12133233233121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12133233233121 - 2²⁵ = 12133199678689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133233233101) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2635938006 + ... + 2635942608.

It is an arithmetic number, because the mean of its divisors is an integer number (88361441280).

Almost surely, 2^{12133233233121} is an apocalyptic number.

12133233233121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12133233233121 is a deficient number, since it is larger than the sum of its proper divisors (10487295734559).

12133233233121 is a wasteful number, since it uses less digits than its factorization.

12133233233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 1213323 and 3233121, that added together give a palindrome (4446444).

The spelling of 12133233233121 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty-one".