3112133200 has 240 divisors, whose sum is σ = 8469100800. Its totient is φ = 1089280000.

The previous prime is 3112133191. The next prime is 3112133207. The reversal of 3112133200 is 23312113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112133207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20886726 + ... + 20886874.

It is an arithmetic number, because the mean of its divisors is an integer number (35287920).

Almost surely, 2^3112133200 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 3112133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234550400).

3112133200 is an abundant number, since it is smaller than the sum of its proper divisors (5356967600).

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

3112133200 is a wasteful number, since it uses less digits than its factorization.

3112133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3112133200 is about 55786.4965739918. The cubic root of 3112133200 is about 1459.9995621441. Note that the first 3 decimals are identical.

Adding to 3112133200 its reverse (23312113), we get a palindrome (3135445313).

It can be divided in two parts, 311213 and 3200, that added together give a palindrome (314413).

The spelling of 3112133200 in words is "three billion, one hundred twelve million, one hundred thirty-three thousand, two hundred".