322133123232 has 96 divisors (see below), whose sum is σ = 969863247360. Its totient is φ = 103913902080.

The previous prime is 322133123203. The next prime is 322133123293. The reversal of 322133123232 is 232321331223.

322133123232 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 331 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 322133123196 and 322133123205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5986753 + ... + 6040320.

It is an arithmetic number, because the mean of its divisors is an integer number (10102742160).

Almost surely, 2^322133123232 is an apocalyptic number.

322133123232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

322133123232 is an abundant number, since it is smaller than the sum of its proper divisors (647730124128).

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

322133123232 is a wasteful number, since it uses less digits than its factorization.

322133123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027123 (or 12027109 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 322133123232 its reverse (232321331223), we get a palindrome (554454454455).

The spelling of 322133123232 in words is "three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred thirty-two".