204122102400 has 288 divisors, whose sum is σ = 735172588800. Its totient is φ = 53923031040.

The previous prime is 204122102369. The next prime is 204122102411. The reversal of 204122102400 is 4201221402.

204122102400 is a `hidden beast` number, since 2 + 0 + 41 + 221 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048481 + ... + 3114719.

It is an arithmetic number, because the mean of its divisors is an integer number (2552682600).

Almost surely, 2^204122102400 is an apocalyptic number.

204122102400 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 204122102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367586294400).

204122102400 is an abundant number, since it is smaller than the sum of its proper divisors (531050486400).

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

204122102400 is a wasteful number, since it uses less digits than its factorization.

204122102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66376 (or 66356 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 204122102400 its reverse (4201221402), we get a palindrome (208323323802).

The spelling of 204122102400 in words is "two hundred four billion, one hundred twenty-two million, one hundred two thousand, four hundred".