32304123200 has 84 divisors (see below), whose sum is σ = 79527384252. Its totient is φ = 12915302400.

The previous prime is 32304123193. The next prime is 32304123217. The reversal of 32304123200 is 232140323.

It can be written as a sum of positive squares in 6 ways, for example, as 2272619584 + 30031503616 = 47672^2 + 173296^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4574072 + ... + 4581128.

Almost surely, 2^32304123200 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 32304123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39763692126).

32304123200 is an abundant number, since it is smaller than the sum of its proper divisors (47223261052).

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

32304123200 is a wasteful number, since it uses less digits than its factorization.

32304123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32304123200 its reverse (232140323), we get a palindrome (32536263523).

The spelling of 32304123200 in words is "thirty-two billion, three hundred four million, one hundred twenty-three thousand, two hundred".