22202100120120 has 128 divisors (see below), whose sum is σ = 66669890711040. Its totient is φ = 5914910246400.

The previous prime is 22202100120113. The next prime is 22202100120127. The reversal of 22202100120120 is 2102100120222.

It is an interprime number because it is at equal distance from previous prime (22202100120113) and next prime (22202100120127).

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 22202100120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202100120127) 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 31 ways as a sum of consecutive naturals, for example, 592875237 + ... + 592912683.

It is an arithmetic number, because the mean of its divisors is an integer number (520858521180).

Almost surely, 2^{22202100120120} is an apocalyptic number.

22202100120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202100120120 is an abundant number, since it is smaller than the sum of its proper divisors (44467790590920).

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

22202100120120 is a wasteful number, since it uses less digits than its factorization.

22202100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42045 (or 42041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22202100120120 its reverse (2102100120222), we get a palindrome (24304200240342).

The spelling of 22202100120120 in words is "twenty-two trillion, two hundred two billion, one hundred million, one hundred twenty thousand, one hundred twenty".