204432220212324 has 192 divisors, whose sum is σ = 551771523072000. Its totient is φ = 58347996456960.

The previous prime is 204432220212289. The next prime is 204432220212331. The reversal of 204432220212324 is 423212022234402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546424677 + ... + 546798675.

It is an arithmetic number, because the mean of its divisors is an integer number (2873810016000).

Almost surely, 2^{204432220212324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204432220212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275885761536000).

204432220212324 is an abundant number, since it is smaller than the sum of its proper divisors (347339302859676).

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

204432220212324 is a wasteful number, since it uses less digits than its factorization.

204432220212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377010 (or 377008 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 204432220212324 its reverse (423212022234402), we get a palindrome (627644242446726).

The spelling of 204432220212324 in words is "two hundred four trillion, four hundred thirty-two billion, two hundred twenty million, two hundred twelve thousand, three hundred twenty-four".