3313223321200 has 240 divisors, whose sum is σ = 9150614323200. Its totient is φ = 1142631705600.

The previous prime is 3313223321167. The next prime is 3313223321227. The reversal of 3313223321200 is 21233223133.

It is a super-2 number, since 2×3313223321200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6778641 + ... + 7250959.

It is an arithmetic number, because the mean of its divisors is an integer number (38127559680).

Almost surely, 2^{3313223321200} 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 3313223321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575307161600).

3313223321200 is an abundant number, since it is smaller than the sum of its proper divisors (5837391002000).

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

3313223321200 is a wasteful number, since it uses less digits than its factorization.

3313223321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472440 (or 472429 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 3313223321200 its reverse (21233223133), we get a palindrome (3334456544333).

The spelling of 3313223321200 in words is "three trillion, three hundred thirteen billion, two hundred twenty-three million, three hundred twenty-one thousand, two hundred".