21122300322112 has 42 divisors (see below), whose sum is σ = 46071381052634. Its totient is φ = 9601045597440.

The previous prime is 21122300322077. The next prime is 21122300322127.

21122300322112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 18914983946496 + 2207316375616 = 4349136^2 + 1485704^2 .

It is a super-2 number, since 2×21122300322112² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1363777143 + ... + 1363792630.

Almost surely, 2^{21122300322112} is an apocalyptic number.

21122300322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122300322112 is an abundant number, since it is smaller than the sum of its proper divisors (24949080730522).

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

21122300322112 is a wasteful number, since it uses less digits than its factorization.

21122300322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727569807 (or 2727569786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 21122300 and 322112, that added together give a palindrome (21444412).

The spelling of 21122300322112 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred million, three hundred twenty-two thousand, one hundred twelve".