323233211200000 has 240 divisors, whose sum is σ = 835078276022760. Its totient is φ = 124834877440000.

The previous prime is 323233211199991. The next prime is 323233211200007. The reversal of 323233211200000 is 2112332323.

It can be written as a sum of positive squares in 12 ways, for example, as 53085329697024 + 270147881502976 = 7285968^2 + 16436176^2 .

It is not an unprimeable number, because it can be changed into a prime (323233211200007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42916884 + ... + 49883116.

Almost surely, 2^{323233211200000} 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 323233211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417539138011380).

323233211200000 is an abundant number, since it is smaller than the sum of its proper divisors (511845064822760).

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

323233211200000 is an frugal number, since it uses more digits than its factorization.

323233211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966305 (or 6966269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 323233211200000 its reverse (2112332323), we get a palindrome (323235323532323).

The spelling of 323233211200000 in words is "three hundred twenty-three trillion, two hundred thirty-three billion, two hundred eleven million, two hundred thousand".