204241203233200 has 240 divisors, whose sum is σ = 577788006343680. Its totient is φ = 67929134837760.

The previous prime is 204241203233191. The next prime is 204241203233209. The reversal of 204241203233200 is 2332302142402.

204241203233200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204241203233191) and next prime (204241203233209).

It is a super-2 number, since 2×204241203233200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (204241203233209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8003611 + ... + 21737989.

It is an arithmetic number, because the mean of its divisors is an integer number (2407450026432).

Almost surely, 2^{204241203233200} is an apocalyptic number.

204241203233200 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 204241203233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288894003171840).

204241203233200 is an abundant number, since it is smaller than the sum of its proper divisors (373546803110480).

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

204241203233200 is a wasteful number, since it uses less digits than its factorization.

204241203233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13734564 (or 13734553 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 204241203233200 its reverse (2332302142402), we get a palindrome (206573505375602).

The spelling of 204241203233200 in words is "two hundred four trillion, two hundred forty-one billion, two hundred three million, two hundred thirty-three thousand, two hundred".