204442412122200 has 192 divisors, whose sum is σ = 762431853024000. Its totient is φ = 44270236592640.

The previous prime is 204442412122163. The next prime is 204442412122217. The reversal of 204442412122200 is 2221214244402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280887695 + ... + 1281047294.

It is an arithmetic number, because the mean of its divisors is an integer number (3970999234500).

Almost surely, 2^{204442412122200} is an apocalyptic number.

204442412122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204442412122200 is an abundant number, since it is smaller than the sum of its proper divisors (557989440901800).

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

204442412122200 is a wasteful number, since it uses less digits than its factorization.

204442412122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561935034 (or 2561935025 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 204442412122200 its reverse (2221214244402), we get a palindrome (206663626366602).

The spelling of 204442412122200 in words is "two hundred four trillion, four hundred forty-two billion, four hundred twelve million, one hundred twenty-two thousand, two hundred".