3221313110120 has 96 divisors (see below), whose sum is σ = 8435411361000. Its totient is φ = 1103910861312.

The previous prime is 3221313110087. The next prime is 3221313110131. The reversal of 3221313110120 is 210113131223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1604331290884 + 1616981819236 = 1266622^2 + 1271606^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3221313110092 and 3221313110101.

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 23 ways as a sum of consecutive naturals, for example, 3623606 + ... + 4424154.

Almost surely, 2^{3221313110120} 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 3221313110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217705680500).

3221313110120 is an abundant number, since it is smaller than the sum of its proper divisors (5214098250880).

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

3221313110120 is a wasteful number, since it uses less digits than its factorization.

3221313110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802627 (or 802616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3221313110120 its reverse (210113131223), we get a palindrome (3431426241343).

The spelling of 3221313110120 in words is "three trillion, two hundred twenty-one billion, three hundred thirteen million, one hundred ten thousand, one hundred twenty".