3111112000 has 112 divisors (see below), whose sum is σ = 7756873488. Its totient is φ = 1236019200.

The previous prime is 3111111961. The next prime is 3111112019. The reversal of 3111112000 is 2111113.

It can be written as a sum of positive squares in 8 ways, for example, as 1325542464 + 1785569536 = 36408^2 + 42256^2 .

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1254762 + ... + 1257238.

It is an arithmetic number, because the mean of its divisors is an integer number (69257799).

Almost surely, 2^3111112000 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 3111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878436744).

3111112000 is an abundant number, since it is smaller than the sum of its proper divisors (4645761488).

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

3111112000 is a wasteful number, since it uses less digits than its factorization.

3111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 3111112000 is about 55777.3430704619. The cubic root of 3111112000 is about 1459.8398523283.

Adding to 3111112000 its reverse (2111113), we get a palindrome (3113223113).

The spelling of 3111112000 in words is "three billion, one hundred eleven million, one hundred twelve thousand".