3223213111200 has 288 divisors, whose sum is σ = 10675600467840. Its totient is φ = 844477747200.

The previous prime is 3223213111147. The next prime is 3223213111229. The reversal of 3223213111200 is 21113123223.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134529622 + ... + 134553578.

It is an arithmetic number, because the mean of its divisors is an integer number (37068057180).

Almost surely, 2^{3223213111200} is an apocalyptic number.

3223213111200 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 3223213111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337800233920).

3223213111200 is an abundant number, since it is smaller than the sum of its proper divisors (7452387356640).

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

3223213111200 is a wasteful number, since it uses less digits than its factorization.

3223213111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24960 (or 24947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3223213111200 its reverse (21113123223), we get a palindrome (3244326234423).

The spelling of 3223213111200 in words is "three trillion, two hundred twenty-three billion, two hundred thirteen million, one hundred eleven thousand, two hundred".