204151120000 has 320 divisors, whose sum is σ = 528292892160. Its totient is φ = 78474240000.

The previous prime is 204151119971. The next prime is 204151120009. The reversal of 204151120000 is 21151402.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204151120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 652239844 + ... + 652240156.

It is an arithmetic number, because the mean of its divisors is an integer number (1650915288).

Almost surely, 2^204151120000 is an apocalyptic number.

204151120000 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 204151120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264146446080).

204151120000 is an abundant number, since it is smaller than the sum of its proper divisors (324141772160).

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

204151120000 is an equidigital number, since it uses as much as digits as its factorization.

204151120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 204151120000 its reverse (21151402), we get a palindrome (204172271402).

The spelling of 204151120000 in words is "two hundred four billion, one hundred fifty-one million, one hundred twenty thousand".