204012104114000 has 640 divisors, whose sum is σ = 614789410959360. Its totient is φ = 63753848064000.

The previous prime is 204012104113927. The next prime is 204012104114017. The reversal of 204012104114000 is 411401210402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55272852155 + ... + 55272855845.

It is an arithmetic number, because the mean of its divisors is an integer number (960608454624).

Almost surely, 2^{204012104114000} is an apocalyptic number.

204012104114000 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 204012104114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307394705479680).

204012104114000 is an abundant number, since it is smaller than the sum of its proper divisors (410777306845360).

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

204012104114000 is a wasteful number, since it uses less digits than its factorization.

204012104114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 204012104114000 its reverse (411401210402), we get a palindrome (204423505324402).

The spelling of 204012104114000 in words is "two hundred four trillion, twelve billion, one hundred four million, one hundred fourteen thousand".