202142331200 has 84 divisors (see below), whose sum is σ = 501960177180. Its totient is φ = 80115056640.

The previous prime is 202142331187. The next prime is 202142331227. The reversal of 202142331200 is 2133241202.

It can be written as a sum of positive squares in 6 ways, for example, as 14403840256 + 187738490944 = 120016^2 + 433288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405137 + ... + 753936.

It is an arithmetic number, because the mean of its divisors is an integer number (5975716395).

Almost surely, 2^202142331200 is an apocalyptic number.

202142331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202142331200 is an abundant number, since it is smaller than the sum of its proper divisors (299817845980).

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

202142331200 is a wasteful number, since it uses less digits than its factorization.

202142331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159204 (or 1159189 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202142331200 its reverse (2133241202), we get a palindrome (204275572402).

The spelling of 202142331200 in words is "two hundred two billion, one hundred forty-two million, three hundred thirty-one thousand, two hundred".