202200120960 has 128 divisors (see below), whose sum is σ = 644861511360. Its totient is φ = 53890867200.

The previous prime is 202200120953. The next prime is 202200120973. The reversal of 202200120960 is 69021002202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202200120960.

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, 3645435 + ... + 3700485.

Almost surely, 2^202200120960 is an apocalyptic number.

202200120960 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 202200120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322430755680).

202200120960 is an abundant number, since it is smaller than the sum of its proper divisors (442661390400).

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

202200120960 is a wasteful number, since it uses less digits than its factorization.

202200120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56986 (or 56974 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 202200120960 in words is "two hundred two billion, two hundred million, one hundred twenty thousand, nine hundred sixty".