323212233113000 has 512 divisors, whose sum is σ = 962463134131200. Its totient is φ = 98662546944000.

The previous prime is 323212233112961. The next prime is 323212233113027. The reversal of 323212233113000 is 311332212323.

It is a super-2 number, since 2×323212233113000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2273045906 + ... + 2273188094.

It is an arithmetic number, because the mean of its divisors is an integer number (1879810808850).

Almost surely, 2^{323212233113000} 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 323212233113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481231567065600).

323212233113000 is an abundant number, since it is smaller than the sum of its proper divisors (639250901018200).

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

323212233113000 is a wasteful number, since it uses less digits than its factorization.

323212233113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142838 (or 142824 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 323212233113000 its reverse (311332212323), we get a palindrome (323523565325323).

The spelling of 323212233113000 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty-three million, one hundred thirteen thousand".