202112120 has 64 divisors (see below), whose sum is σ = 547084800. Its totient is φ = 65646720.

The previous prime is 202112117. The next prime is 202112149. The reversal of 202112120 is 21211202.

It is a happy number.

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, 13676 + ... + 24315.

It is an arithmetic number, because the mean of its divisors is an integer number (8548200).

Almost surely, 2^202112120 is an apocalyptic number.

202112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112120 is an abundant number, since it is smaller than the sum of its proper divisors (344972680).

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

202112120 is a wasteful number, since it uses less digits than its factorization.

202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38028 (or 38024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 202112120 is about 14216.6142242096. The cubic root of 202112120 is about 586.8549685375.

Adding to 202112120 its reverse (21211202), we get a palindrome (223323322).

It can be divided in two parts, 2021 and 12120, that added together give a palindrome (14141).

The spelling of 202112120 in words is "two hundred two million, one hundred twelve thousand, one hundred twenty".