3221223321312 has 120 divisors (see below), whose sum is σ = 9501642246096. Its totient is φ = 1070554641408.

The previous prime is 3221223321293. The next prime is 3221223321319. The reversal of 3221223321312 is 2131233221223.

3221223321312 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 2 + 23 + 321 + 312 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221223321319) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 970348 + ... + 2717355.

Almost surely, 2^{3221223321312} is an apocalyptic number.

3221223321312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3221223321312 is an abundant number, since it is smaller than the sum of its proper divisors (6280418924784).

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

3221223321312 is a wasteful number, since it uses less digits than its factorization.

3221223321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688062 (or 3688045 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 3221223321312 its reverse (2131233221223), we get a palindrome (5352456542535).

The spelling of 3221223321312 in words is "three trillion, two hundred twenty-one billion, two hundred twenty-three million, three hundred twenty-one thousand, three hundred twelve".