3112123200 has 168 divisors, whose sum is σ = 10363821792. Its totient is φ = 817428480.

The previous prime is 3112123199. The next prime is 3112123213. The reversal of 3112123200 is 23212113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3112123200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316762 + ... + 326438.

Almost surely, 2^3112123200 is an apocalyptic number.

3112123200 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 3112123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181910896).

3112123200 is an abundant number, since it is smaller than the sum of its proper divisors (7251698592).

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

3112123200 is a wasteful number, since it uses less digits than its factorization.

3112123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3112123200 is about 55786.4069464955. The cubic root of 3112123200 is about 1459.9979983709.

Adding to 3112123200 its reverse (23212113), we get a palindrome (3135335313).

The spelling of 3112123200 in words is "three billion, one hundred twelve million, one hundred twenty-three thousand, two hundred".