204120000 has 490 divisors, whose sum is σ = 867291128. Its totient is φ = 46656000.

The previous prime is 204119947. The next prime is 204120019. The reversal of 204120000 is 21402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 69 ways as a sum of consecutive naturals, for example, 29159997 + ... + 29160003.

Almost surely, 2^204120000 is an apocalyptic number.

204120000 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 204120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433645564).

204120000 is an abundant number, since it is smaller than the sum of its proper divisors (663171128).

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

204120000 is an frugal number, since it uses more digits than its factorization.

204120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 204120000 is about 14287.0570797488. The cubic root of 204120000 is about 588.7919358339.

Adding to 204120000 its reverse (21402), we get a palindrome (204141402).

The spelling of 204120000 in words is "two hundred four million, one hundred twenty thousand".