3222100323200 has 768 divisors, whose sum is σ = 9273829294080. Its totient is φ = 1094691840000.

The previous prime is 3222100323181. The next prime is 3222100323209. The reversal of 3222100323200 is 23230012223.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222100323209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10360451045 + ... + 10360451355.

It is an arithmetic number, because the mean of its divisors is an integer number (12075298560).

Almost surely, 2^{3222100323200} 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 3222100323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636914647040).

3222100323200 is an abundant number, since it is smaller than the sum of its proper divisors (6051728970880).

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

3222100323200 is a wasteful number, since it uses less digits than its factorization.

3222100323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3222100323200 its reverse (23230012223), we get a palindrome (3245330335423).

The spelling of 3222100323200 in words is "three trillion, two hundred twenty-two billion, one hundred million, three hundred twenty-three thousand, two hundred".