3112111200 has 144 divisors (see below), whose sum is σ = 11050917696. Its totient is φ = 754444800.

The previous prime is 3112111193. The next prime is 3112111201. The reversal of 3112111200 is 21112113.

3112111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3112111200² = 19370472242330880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32542 + ... + 85341.

It is an arithmetic number, because the mean of its divisors is an integer number (76742484).

Almost surely, 2^3112111200 is an apocalyptic number.

3112111200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112111200 is an abundant number, since it is smaller than the sum of its proper divisors (7938806496).

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

3112111200 is a wasteful number, since it uses less digits than its factorization.

3112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117917 (or 117904 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 3112111200 is about 55786.2993933098. The cubic root of 3112111200 is about 1459.9961218387.

Adding to 3112111200 its reverse (21112113), we get a palindrome (3133223313).

The spelling of 3112111200 in words is "three billion, one hundred twelve million, one hundred eleven thousand, two hundred".