21122333322112 has 64 divisors (see below), whose sum is σ = 45980699005440. Its totient is φ = 9585242979840.

The previous prime is 21122333322109. The next prime is 21122333322173.

21122333322112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11502558 + ... + 13211869.

It is an arithmetic number, because the mean of its divisors is an integer number (718448421960).

Almost surely, 2^{21122333322112} is an apocalyptic number.

21122333322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122333322112 is an abundant number, since it is smaller than the sum of its proper divisors (24858365683328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21122333322112 is a wasteful number, since it uses less digits than its factorization.

21122333322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24715059 (or 24715047 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 2112233 and 3322112, that added together give a palindrome (5434345).

The spelling of 21122333322112 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred twelve".