122320321331121 has 48 divisors (see below), whose sum is σ = 183524942764800. Its totient is φ = 81415125969408.

The previous prime is 122320321331099. The next prime is 122320321331147. The reversal of 122320321331121 is 121133123023221.

122320321331121 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 0 + 321 + 3 + 311 + 21 = 666.

It is not a de Polignac number, because 122320321331121 - 2²⁵ = 122320287776689 is a prime.

It is a super-2 number, since 2×122320321331121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122320321331191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868083745 + ... + 868224641.

It is an arithmetic number, because the mean of its divisors is an integer number (3823436307600).

Almost surely, 2^{122320321331121} is an apocalyptic number.

It is an amenable number.

122320321331121 is a deficient number, since it is larger than the sum of its proper divisors (61204621433679).

122320321331121 is an equidigital number, since it uses as much as digits as its factorization.

122320321331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146660 (or 146648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122320321331121 its reverse (121133123023221), we get a palindrome (243453444354342).

The spelling of 122320321331121 in words is "one hundred twenty-two trillion, three hundred twenty billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty-one".