3112000221200 has 120 divisors (see below), whose sum is σ = 8109629908800. Its totient is φ = 1140779450880.

The previous prime is 3112000221191. The next prime is 3112000221217. The reversal of 3112000221200 is 21220002113.

It is a happy number.

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, 1429940 + ... + 2875539.

It is an arithmetic number, because the mean of its divisors is an integer number (67580249240).

Almost surely, 2^{3112000221200} is an apocalyptic number.

It is an amenable number.

3112000221200 is an abundant number, since it is smaller than the sum of its proper divisors (4997629687600).

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

3112000221200 is a wasteful number, since it uses less digits than its factorization.

3112000221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305649 (or 4305638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 3112000221200 its reverse (21220002113), we get a palindrome (3133220223313).

The spelling of 3112000221200 in words is "three trillion, one hundred twelve billion, two hundred twenty-one thousand, two hundred".