321112333332 has 144 divisors (see below), whose sum is σ = 943358287872. Its totient is φ = 90195171840.

The previous prime is 321112333273. The next prime is 321112333343. The reversal of 321112333332 is 233333211123.

321112333332 is a `hidden beast` number, since 321 + 1 + 1 + 2 + 3 + 3 + 3 + 332 = 666.

It is a super-2 number, since 2×321112333332² (a number of 24 digits) contains 22 as substring.

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 = 321112333296 and 321112333305.

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 47 ways as a sum of consecutive naturals, for example, 38010733 + ... + 38019179.

Almost surely, 2^321112333332 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 321112333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471679143936).

321112333332 is an abundant number, since it is smaller than the sum of its proper divisors (622245954540).

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

321112333332 is a wasteful number, since it uses less digits than its factorization.

321112333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10993 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 321112333332 its reverse (233333211123), we get a palindrome (554445544455).

The spelling of 321112333332 in words is "three hundred twenty-one billion, one hundred twelve million, three hundred thirty-three thousand, three hundred thirty-two".