204112223042000 has 320 divisors, whose sum is σ = 608750188161024. Its totient is φ = 64458606643200.

The previous prime is 204112223041999. The next prime is 204112223042023. The reversal of 204112223042000 is 240322211402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83054882 + ... + 85477118.

Almost surely, 2^{204112223042000} is an apocalyptic number.

204112223042000 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 204112223042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304375094080512).

204112223042000 is an abundant number, since it is smaller than the sum of its proper divisors (404637965119024).

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

204112223042000 is a wasteful number, since it uses less digits than its factorization.

204112223042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422743 (or 2422727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 204112223042000 its reverse (240322211402), we get a palindrome (204352545253402).

The spelling of 204112223042000 in words is "two hundred four trillion, one hundred twelve billion, two hundred twenty-three million, forty-two thousand".