3120112000 has 128 divisors (see below), whose sum is σ = 8214410880. Its totient is φ = 1174528000.

The previous prime is 3120111979. The next prime is 3120112003. The reversal of 3120112000 is 2110213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266265 + ... + 277735.

It is an arithmetic number, because the mean of its divisors is an integer number (64175085).

Almost surely, 2^3120112000 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 3120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107205440).

3120112000 is an abundant number, since it is smaller than the sum of its proper divisors (5094298880).

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

3120112000 is a wasteful number, since it uses less digits than its factorization.

3120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11517 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3120112000 is about 55857.9627269022. The cubic root of 3120112000 is about 1461.2461993914.

Adding to 3120112000 its reverse (2110213), we get a palindrome (3122222213).

The spelling of 3120112000 in words is "three billion, one hundred twenty million, one hundred twelve thousand".