3221013223120 has 640 divisors, whose sum is σ = 9626812416000. Its totient is φ = 973417236480.

The previous prime is 3221013223093. The next prime is 3221013223201. The reversal of 3221013223120 is 213223101223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3221013223091 and 3221013223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8972181501 + ... + 8972181859.

It is an arithmetic number, because the mean of its divisors is an integer number (15041894400).

Almost surely, 2^{3221013223120} 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 3221013223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813406208000).

3221013223120 is an abundant number, since it is smaller than the sum of its proper divisors (6405799192880).

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

3221013223120 is a wasteful number, since it uses less digits than its factorization.

3221013223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3221013223120 its reverse (213223101223), we get a palindrome (3434236324343).

The spelling of 3221013223120 in words is "three trillion, two hundred twenty-one billion, thirteen million, two hundred twenty-three thousand, one hundred twenty".