3112441200 has 720 divisors, whose sum is σ = 12693687552. Its totient is φ = 725760000.

The previous prime is 3112441177. The next prime is 3112441201. The reversal of 3112441200 is 21442113.

It is a tau number, because it is divible by the number of its divisors (720).

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 (3112441201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43837165 + ... + 43837235.

Almost surely, 2^3112441200 is an apocalyptic number.

3112441200 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 3112441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346843776).

3112441200 is an abundant number, since it is smaller than the sum of its proper divisors (9581246352).

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

3112441200 is a wasteful number, since it uses less digits than its factorization.

3112441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3112441200 is about 55789.2570303638. The cubic root of 3112441200 is about 1460.0477247176.

Adding to 3112441200 its reverse (21442113), we get a palindrome (3133883313).

The spelling of 3112441200 in words is "three billion, one hundred twelve million, four hundred forty-one thousand, two hundred".