3221102112000 has 288 divisors, whose sum is σ = 10722146373120. Its totient is φ = 857093529600.

The previous prime is 3221102111989. The next prime is 3221102112013. The reversal of 3221102112000 is 2112011223.

3221102112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44411766 + ... + 44484234.

Almost surely, 2^{3221102112000} is an apocalyptic number.

3221102112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361073186560).

3221102112000 is an abundant number, since it is smaller than the sum of its proper divisors (7501044261120).

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

3221102112000 is an equidigital number, since it uses as much as digits as its factorization.

3221102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72966 (or 72942 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 3221102112000 its reverse (2112011223), we get a palindrome (3223214123223).

The spelling of 3221102112000 in words is "three trillion, two hundred twenty-one billion, one hundred two million, one hundred twelve thousand".