21122211222112 has 96 divisors (see below), whose sum is σ = 55833537441024. Its totient is φ = 7596399628800.

The previous prime is 21122211222109. The next prime is 21122211222143.

21122211222112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21122211222112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329672814 + ... + 329736877.

It is an arithmetic number, because the mean of its divisors is an integer number (581599348344).

Almost surely, 2^{21122211222112} is an apocalyptic number.

21122211222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122211222112 is an abundant number, since it is smaller than the sum of its proper divisors (34711326218912).

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

21122211222112 is a wasteful number, since it uses less digits than its factorization.

21122211222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659409732 (or 659409724 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Multiplying 21122211222112 by its sum of digits (22), we get a palindrome (464688646886464).

It can be divided in two parts, 2112221 and 1222112, that added together give a palindrome (3334333).

The spelling of 21122211222112 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".