111112000 has 224 divisors, whose sum is σ = 313822080. Its totient is φ = 38707200.

The previous prime is 111111989. The next prime is 111112003. The reversal of 111112000 is 211111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112003) 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, 2583979 + ... + 2584021.

Almost surely, 2^111112000 is an apocalyptic number.

111112000 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 111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

111112000 is an abundant number, since it is smaller than the sum of its proper divisors (202710080).

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

111112000 is a wasteful number, since it uses less digits than its factorization.

111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

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

The square root of 111112000 is about 10540.9676975124. The cubic root of 111112000 is about 480.7511387653.

Adding to 111112000 its reverse (211111), we get a palindrome (111323111).

The spelling of 111112000 in words is "one hundred eleven million, one hundred twelve thousand".