204201132120 has 96 divisors (see below), whose sum is σ = 663897967200. Its totient is φ = 54433591296.

The previous prime is 204201132119. The next prime is 204201132131. The reversal of 204201132120 is 21231102402.

It is a happy number.

204201132120 is a `hidden beast` number, since 20 + 420 + 1 + 13 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204201132093 and 204201132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888061 + ... + 1094099.

It is an arithmetic number, because the mean of its divisors is an integer number (6915603825).

Almost surely, 2^204201132120 is an apocalyptic number.

204201132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204201132120 is an abundant number, since it is smaller than the sum of its proper divisors (459696835080).

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

204201132120 is a wasteful number, since it uses less digits than its factorization.

204201132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208809 (or 208802 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 204201132120 its reverse (21231102402), we get a palindrome (225432234522).

The spelling of 204201132120 in words is "two hundred four billion, two hundred one million, one hundred thirty-two thousand, one hundred twenty".