204120691200 has 240 divisors, whose sum is σ = 749223430560. Its totient is φ = 54432092160.

The previous prime is 204120691193. The next prime is 204120691219. The reversal of 204120691200 is 2196021402.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 50287 + ... + 640913.

It is an arithmetic number, because the mean of its divisors is an integer number (3121764294).

Almost surely, 2^204120691200 is an apocalyptic number.

204120691200 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 204120691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374611715280).

204120691200 is an abundant number, since it is smaller than the sum of its proper divisors (545102739360).

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

204120691200 is an equidigital number, since it uses as much as digits as its factorization.

204120691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590664 (or 590637 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 204120691200 in words is "two hundred four billion, one hundred twenty million, six hundred ninety-one thousand, two hundred".