3013221223200 has 576 divisors, whose sum is σ = 10405134028800. Its totient is φ = 755852697600.

The previous prime is 3013221223193. The next prime is 3013221223217. The reversal of 3013221223200 is 23221223103.

It is a happy number.

3013221223200 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 95 ways as a sum of consecutive naturals, for example, 1225383571 + ... + 1225386029.

It is an arithmetic number, because the mean of its divisors is an integer number (18064468800).

Almost surely, 2^{3013221223200} is an apocalyptic number.

3013221223200 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 3013221223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202567014400).

3013221223200 is an abundant number, since it is smaller than the sum of its proper divisors (7391912805600).

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

3013221223200 is a wasteful number, since it uses less digits than its factorization.

3013221223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3013221223200 its reverse (23221223103), we get a palindrome (3036442446303).

The spelling of 3013221223200 in words is "three trillion, thirteen billion, two hundred twenty-one million, two hundred twenty-three thousand, two hundred".