202112211120 has 160 divisors (see below), whose sum is σ = 654611673600. Its totient is φ = 51488397312.

The previous prime is 202112211073. The next prime is 202112211137. The reversal of 202112211120 is 21112211202.

202112211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 202112211120.

It is an unprimeable number.

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, 4443051 + ... + 4488309.

It is an arithmetic number, because the mean of its divisors is an integer number (4091322960).

Almost surely, 2^202112211120 is an apocalyptic number.

202112211120 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 202112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327305836800).

202112211120 is an abundant number, since it is smaller than the sum of its proper divisors (452499462480).

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

202112211120 is a wasteful number, since it uses less digits than its factorization.

202112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46107 (or 46101 counting only the distinct ones).

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

Adding to 202112211120 its reverse (21112211202), we get a palindrome (223224422322).

The spelling of 202112211120 in words is "two hundred two billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".