12133022033121 has 32 divisors (see below), whose sum is σ = 17826099895296. Its totient is φ = 7279179000000.

The previous prime is 12133022033017. The next prime is 12133022033137.

12133022033121 is nontrivially palindromic in base 10.

12133022033121 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 12133022033121 - 2¹⁹ = 12133021508833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133022033091 and 12133022033100.

It is not an unprimeable number, because it can be changed into a prime (12133022037121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17616996 + ... + 18292746.

It is an arithmetic number, because the mean of its divisors is an integer number (557065621728).

Almost surely, 2^{12133022033121} is an apocalyptic number.

12133022033121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12133022033121 is a deficient number, since it is larger than the sum of its proper divisors (5693077862175).

12133022033121 is a wasteful number, since it uses less digits than its factorization.

12133022033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681253.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1213302 and 2033121, that added together give a palindrome (3246423).

The spelling of 12133022033121 in words is "twelve trillion, one hundred thirty-three billion, twenty-two million, thirty-three thousand, one hundred twenty-one".