204120120 has 128 divisors (see below), whose sum is σ = 649635840. Its totient is φ = 51217920.

The previous prime is 204120109. The next prime is 204120127. The reversal of 204120120 is 21021402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 204120096 and 204120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204120127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136899 + ... + 138381.

It is an arithmetic number, because the mean of its divisors is an integer number (5075280).

Almost surely, 2^204120120 is an apocalyptic number.

204120120 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 204120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324817920).

204120120 is an abundant number, since it is smaller than the sum of its proper divisors (445515720).

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

204120120 is a wasteful number, since it uses less digits than its factorization.

204120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 204120120 is about 14287.0612793534. The cubic root of 204120120 is about 588.7920512155.

Adding to 204120120 its reverse (21021402), we get a palindrome (225141522).

The spelling of 204120120 in words is "two hundred four million, one hundred twenty thousand, one hundred twenty".