122331133221 has 80 divisors (see below), whose sum is σ = 191271741120. Its totient is φ = 69302295040.

The previous prime is 122331133219. The next prime is 122331133237.

122331133221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122331133221 - 2¹ = 122331133219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122331133191 and 122331133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331133261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129177070 + ... + 129178016.

It is an arithmetic number, because the mean of its divisors is an integer number (2390896764).

Almost surely, 2^122331133221 is an apocalyptic number.

122331133221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122331133221 is a deficient number, since it is larger than the sum of its proper divisors (68940607899).

122331133221 is an equidigital number, since it uses as much as digits as its factorization.

122331133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1151 counting only the distinct ones).

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

It can be divided in two parts, 122331 and 133221, that added together give a palindrome (255552).

The spelling of 122331133221 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty-one".