12333122133321 has 24 divisors (see below), whose sum is σ = 18097331726880. Its totient is φ = 7465379965120.

The previous prime is 12333122133289. The next prime is 12333122133323.

12333122133321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12333122133321 - 2⁵ = 12333122133289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12333122133323) 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, 20704815 + ... + 21292148.

It is an arithmetic number, because the mean of its divisors is an integer number (754055488620).

Almost surely, 2^{12333122133321} is an apocalyptic number.

12333122133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12333122133321 is a deficient number, since it is larger than the sum of its proper divisors (5764209593559).

12333122133321 is a wasteful number, since it uses less digits than its factorization.

12333122133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41997797 (or 41997786 counting only the distinct ones).

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

It can be divided in two parts, 1233312 and 2133321, that added together give a palindrome (3366633).

The spelling of 12333122133321 in words is "twelve trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred twenty-one".