12133211233121 has 24 divisors (see below), whose sum is σ = 13563907963200. Its totient is φ = 10842151839200.

The previous prime is 12133211233079. The next prime is 12133211233123.

12133211233121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12133211233121 - 2¹⁸ = 12133210970977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12133211233123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75814775 + ... + 75974643.

It is an arithmetic number, because the mean of its divisors is an integer number (565162831800).

Almost surely, 2^{12133211233121} is an apocalyptic number.

12133211233121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12133211233121 is a deficient number, since it is larger than the sum of its proper divisors (1430696730079).

12133211233121 is a wasteful number, since it uses less digits than its factorization.

12133211233121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170581 (or 170570 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1213321 and 1233121, that added together give a palindrome (2446442).

The spelling of 12133211233121 in words is "twelve trillion, one hundred thirty-three billion, two hundred eleven million, two hundred thirty-three thousand, one hundred twenty-one".