204241201020000 has 360 divisors, whose sum is σ = 745397055539136. Its totient is φ = 52992309888000.

The previous prime is 204241201019993. The next prime is 204241201020019. The reversal of 204241201020000 is 20102142402.

204241201020000 is a `hidden beast` number, since 2 + 0 + 42 + 412 + 0 + 10 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×204241201020000³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8673424 + ... + 21993423.

Almost surely, 2^{204241201020000} is an apocalyptic number.

204241201020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204241201020000 is an abundant number, since it is smaller than the sum of its proper divisors (541155854519136).

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

204241201020000 is a wasteful number, since it uses less digits than its factorization.

204241201020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30666920 (or 30666894 counting only the distinct ones).

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

Adding to 204241201020000 its reverse (20102142402), we get a palindrome (204261303162402).

The spelling of 204241201020000 in words is "two hundred four trillion, two hundred forty-one billion, two hundred one million, twenty thousand".