2011112000 has 224 divisors, whose sum is σ = 5334975360. Its totient is φ = 748800000.

The previous prime is 2011111997. The next prime is 2011112003. The reversal of 2011112000 is 2111102.

It is an interprime number because it is at equal distance from previous prime (2011111997) and next prime (2011112003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2011112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15351935 + ... + 15352065.

Almost surely, 2^2011112000 is an apocalyptic number.

2011112000 is a gapful number since it is divisible by the number (20) 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 2011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667487680).

2011112000 is an abundant number, since it is smaller than the sum of its proper divisors (3323863360).

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

2011112000 is a wasteful number, since it uses less digits than its factorization.

2011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2011112000 is about 44845.4234008332. The cubic root of 2011112000 is about 1262.2501155606.

Adding to 2011112000 its reverse (2111102), we get a palindrome (2013223102).

The spelling of 2011112000 in words is "two billion, eleven million, one hundred twelve thousand".