22120012211100 has 72 divisors (see below), whose sum is σ = 64178843541120. Its totient is φ = 5882239058880.

The previous prime is 22120012211053. The next prime is 22120012211117. The reversal of 22120012211100 is 111221002122.

It is a super-2 number, since 2×22120012211100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22120012211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102585022 + ... + 102800421.

It is an arithmetic number, because the mean of its divisors is an integer number (891372826960).

Almost surely, 2^{22120012211100} is an apocalyptic number.

22120012211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120012211100 is an abundant number, since it is smaller than the sum of its proper divisors (42058831330020).

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

22120012211100 is a wasteful number, since it uses less digits than its factorization.

22120012211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205385819 (or 205385812 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22120012211100 its reverse (111221002122), we get a palindrome (22231233213222).

The spelling of 22120012211100 in words is "twenty-two trillion, one hundred twenty billion, twelve million, two hundred eleven thousand, one hundred".