3112221013200 has 360 divisors, whose sum is σ = 11639809254528. Its totient is φ = 765509022720.

The previous prime is 3112221013193. The next prime is 3112221013201. The reversal of 3112221013200 is 23101222113.

3112221013200 is a `hidden beast` number, since 311 + 2 + 22 + 10 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112221013201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63951277 + ... + 63999923.

Almost surely, 2^{3112221013200} is an apocalyptic number.

3112221013200 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 3112221013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819904627264).

3112221013200 is an abundant number, since it is smaller than the sum of its proper divisors (8527588241328).

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

3112221013200 is a wasteful number, since it uses less digits than its factorization.

3112221013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50051 (or 50037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3112221013200 its reverse (23101222113), we get a palindrome (3135322235313).

The spelling of 3112221013200 in words is "three trillion, one hundred twelve billion, two hundred twenty-one million, thirteen thousand, two hundred".