204224330000000 has 512 divisors, whose sum is σ = 514580713920000. Its totient is φ = 80730432000000.

The previous prime is 204224329999981. The next prime is 204224330000003. The reversal of 204224330000000 is 33422402.

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

It is not an unprimeable number, because it can be changed into a prime (204224330000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568869999821 + ... + 568870000179.

It is an arithmetic number, because the mean of its divisors is an integer number (1005040456875).

Almost surely, 2^{204224330000000} is an apocalyptic number.

204224330000000 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 204224330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257290356960000).

204224330000000 is an abundant number, since it is smaller than the sum of its proper divisors (310356383920000).

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

204224330000000 is an frugal number, since it uses more digits than its factorization.

204224330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 204224330000000 its reverse (33422402), we get a palindrome (204224363422402).

The spelling of 204224330000000 in words is "two hundred four trillion, two hundred twenty-four billion, three hundred thirty million", and thus it is an aban number.