202222202112120 has 512 divisors, whose sum is σ = 626324609433600. Its totient is φ = 52216048355328.

The previous prime is 202222202112083. The next prime is 202222202112181. The reversal of 202222202112120 is 21211202222202.

It is a super-2 number, since 2×202222202112120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69659730589 + ... + 69659733491.

It is an arithmetic number, because the mean of its divisors is an integer number (1223290252800).

Almost surely, 2^{202222202112120} is an apocalyptic number.

202222202112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202222202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313162304716800).

202222202112120 is an abundant number, since it is smaller than the sum of its proper divisors (424102407321480).

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

202222202112120 is a wasteful number, since it uses less digits than its factorization.

202222202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202222202112120 its reverse (21211202222202), we get a palindrome (223433404334322).

The spelling of 202222202112120 in words is "two hundred two trillion, two hundred twenty-two billion, two hundred two million, one hundred twelve thousand, one hundred twenty".