204231120 has 160 divisors (see below), whose sum is σ = 659303040. Its totient is φ = 52254720.

The previous prime is 204231109. The next prime is 204231161. The reversal of 204231120 is 21132402.

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 204231120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967815 + ... + 968025.

It is an arithmetic number, because the mean of its divisors is an integer number (4120644).

Almost surely, 2^204231120 is an apocalyptic number.

204231120 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 204231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329651520).

204231120 is an abundant number, since it is smaller than the sum of its proper divisors (455071920).

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

204231120 is a wasteful number, since it uses less digits than its factorization.

204231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204231120 is about 14290.9453851031. The cubic root of 204231120 is about 588.8987597465.

Adding to 204231120 its reverse (21132402), we get a palindrome (225363522).

The spelling of 204231120 in words is "two hundred four million, two hundred thirty-one thousand, one hundred twenty".