3221011013200 has 120 divisors (see below), whose sum is σ = 7780172662080. Its totient is φ = 1281477120000.

The previous prime is 3221011013179. The next prime is 3221011013221. The reversal of 3221011013200 is 23101101223.

It is an interprime number because it is at equal distance from previous prime (3221011013179) and next prime (3221011013221).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72968736 + ... + 73012864.

It is an arithmetic number, because the mean of its divisors is an integer number (64834772184).

Almost surely, 2^{3221011013200} 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 3221011013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890086331040).

3221011013200 is an abundant number, since it is smaller than the sum of its proper divisors (4559161648880).

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

3221011013200 is a wasteful number, since it uses less digits than its factorization.

3221011013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45125 (or 45114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3221011013200 its reverse (23101101223), we get a palindrome (3244112114423).

The spelling of 3221011013200 in words is "three trillion, two hundred twenty-one billion, eleven million, thirteen thousand, two hundred".