202112202120 has 128 divisors (see below), whose sum is σ = 627524755200. Its totient is φ = 52014857216.

The previous prime is 202112202107. The next prime is 202112202121. The reversal of 202112202120 is 21202211202.

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 202112202120.

It is not an unprimeable number, because it can be changed into a prime (202112202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8608237 + ... + 8631683.

It is an arithmetic number, because the mean of its divisors is an integer number (4902537150).

Almost surely, 2^202112202120 is an apocalyptic number.

202112202120 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 202112202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313762377600).

202112202120 is an abundant number, since it is smaller than the sum of its proper divisors (425412553080).

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

202112202120 is a wasteful number, since it uses less digits than its factorization.

202112202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25967 (or 25963 counting only the distinct ones).

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

Adding to 202112202120 its reverse (21202211202), we get a palindrome (223314413322).

The spelling of 202112202120 in words is "two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred twenty".