3221121223200 has 144 divisors (see below), whose sum is σ = 10491783857856. Its totient is φ = 858389376000.

The previous prime is 3221121223169. The next prime is 3221121223213. The reversal of 3221121223200 is 23221211223.

3221121223200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3133725 + ... + 4032675.

It is an arithmetic number, because the mean of its divisors is an integer number (72859610124).

Almost surely, 2^{3221121223200} is an apocalyptic number.

3221121223200 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 3221121223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245891928928).

3221121223200 is an abundant number, since it is smaller than the sum of its proper divisors (7270662634656).

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

3221121223200 is a wasteful number, since it uses less digits than its factorization.

3221121223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900467 (or 900454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3221121223200 its reverse (23221211223), we get a palindrome (3244342434423).

The spelling of 3221121223200 in words is "three trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred".