1011112000 has 112 divisors (see below), whose sum is σ = 2520086400. Its totient is φ = 401856000.

The previous prime is 1011111991. The next prime is 1011112049. The reversal of 1011112000 is 2111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687701 + ... + 1688299.

Almost surely, 2^1011112000 is an apocalyptic number.

1011112000 is a gapful number since it is divisible by the number (10) 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 1011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260043200).

1011112000 is an abundant number, since it is smaller than the sum of its proper divisors (1508974400).

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

1011112000 is an equidigital number, since it uses as much as digits as its factorization.

1011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1011112000 is about 31797.9873576929. The cubic root of 1011112000 is about 1003.6903644574.

Adding to 1011112000 its reverse (2111101), we get a palindrome (1013223101).

The spelling of 1011112000 in words is "one billion, eleven million, one hundred twelve thousand".