204212000 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 77356800.

The previous prime is 204211999. The next prime is 204212011. The reversal of 204212000 is 212402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74657 + ... + 77343.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^204212000 is an apocalyptic number.

204212000 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 204212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

204212000 is an abundant number, since it is smaller than the sum of its proper divisors (324141280).

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

204212000 is a wasteful number, since it uses less digits than its factorization.

204212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 204212000 is about 14290.2764144015. The cubic root of 204212000 is about 588.8803817185.

Adding to 204212000 its reverse (212402), we get a palindrome (204424402).

The spelling of 204212000 in words is "two hundred four million, two hundred twelve thousand".