204122120243120 has 320 divisors, whose sum is σ = 511456593254400. Its totient is φ = 75518229381120.

The previous prime is 204122120243113. The next prime is 204122120243149. The reversal of 204122120243120 is 21342021221402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 204122120243120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73504543172 + ... + 73504545948.

It is an arithmetic number, because the mean of its divisors is an integer number (1598301853920).

Almost surely, 2^{204122120243120} is an apocalyptic number.

204122120243120 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 204122120243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255728296627200).

204122120243120 is an abundant number, since it is smaller than the sum of its proper divisors (307334473011280).

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

204122120243120 is a wasteful number, since it uses less digits than its factorization.

204122120243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 204122120243120 its reverse (21342021221402), we get a palindrome (225464141464522).

The spelling of 204122120243120 in words is "two hundred four trillion, one hundred twenty-two billion, one hundred twenty million, two hundred forty-three thousand, one hundred twenty".