3112442000 has 80 divisors (see below), whose sum is σ = 7621536000. Its totient is φ = 1229155200.

The previous prime is 3112441999. The next prime is 3112442027. The reversal of 3112442000 is 2442113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3112442000³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3112442000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148151 + ... + 167849.

It is an arithmetic number, because the mean of its divisors is an integer number (95269200).

Almost surely, 2^3112442000 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 3112442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810768000).

3112442000 is an abundant number, since it is smaller than the sum of its proper divisors (4509094000).

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

3112442000 is a wasteful number, since it uses less digits than its factorization.

3112442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19801 (or 19785 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3112442000 is about 55789.2642002025. The cubic root of 3112442000 is about 1460.0478498110.

Adding to 3112442000 its reverse (2442113), we get a palindrome (3114884113).

The spelling of 3112442000 in words is "three billion, one hundred twelve million, four hundred forty-two thousand".