3321031233312 has 144 divisors (see below), whose sum is σ = 10171979665848. Its totient is φ = 1021722992640.

The previous prime is 3321031233301. The next prime is 3321031233313. The reversal of 3321031233312 is 2133321301233.

3321031233312 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 0 + 312 + 33 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1322325205776 + 1998706027536 = 1149924^2 + 1413756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3321031233312² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321031233313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30995512 + ... + 31102472.

Almost surely, 2^{3321031233312} is an apocalyptic number.

3321031233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321031233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085989832924).

3321031233312 is an abundant number, since it is smaller than the sum of its proper divisors (6850948432536).

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

3321031233312 is a wasteful number, since it uses less digits than its factorization.

3321031233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115283 (or 115272 counting only the distinct ones).

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

Adding to 3321031233312 its reverse (2133321301233), we get a palindrome (5454352534545).

The spelling of 3321031233312 in words is "three trillion, three hundred twenty-one billion, thirty-one million, two hundred thirty-three thousand, three hundred twelve".