204189120 has 112 divisors (see below), whose sum is σ = 720364320. Its totient is φ = 54448128.

The previous prime is 204189119. The next prime is 204189127. The reversal of 204189120 is 21981402.

204189120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204189127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3177 + ... + 20456.

Almost surely, 2^204189120 is an apocalyptic number.

204189120 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 204189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360182160).

204189120 is an abundant number, since it is smaller than the sum of its proper divisors (516175200).

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

204189120 is a wasteful number, since it uses less digits than its factorization.

204189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23659 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 204189120 is about 14289.4758476300. The cubic root of 204189120 is about 588.8583880937.

The spelling of 204189120 in words is "two hundred four million, one hundred eighty-nine thousand, one hundred twenty".