3322312013200 has 120 divisors (see below), whose sum is σ = 8330024880000. Its totient is φ = 1270972538880.

The previous prime is 3322312013183. The next prime is 3322312013239. The reversal of 3322312013200 is 23102132233.

It is a super-2 number, since 2×3322312013200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82770736 + ... + 82810864.

It is an arithmetic number, because the mean of its divisors is an integer number (69416874000).

Almost surely, 2^{3322312013200} 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 3322312013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165012440000).

3322312013200 is an abundant number, since it is smaller than the sum of its proper divisors (5007712866800).

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

3322312013200 is a wasteful number, since it uses less digits than its factorization.

3322312013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49169 (or 49158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3322312013200 its reverse (23102132233), we get a palindrome (3345414145433).

The spelling of 3322312013200 in words is "three trillion, three hundred twenty-two billion, three hundred twelve million, thirteen thousand, two hundred".