11000112 has 40 divisors (see below), whose sum is σ = 28710960. Its totient is φ = 3628800.

The previous prime is 11000111. The next prime is 11000113. The reversal of 11000112 is 21100011.

11000112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11000111) and next prime (11000113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 11000112.

It is not an unprimeable number, because it can be changed into a prime (11000111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3714 + ... + 5982.

It is an arithmetic number, because the mean of its divisors is an integer number (717774).

Almost surely, 2^11000112 is an apocalyptic number.

11000112 is a gapful number since it is divisible by the number (12) 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 11000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355480).

11000112 is an abundant number, since it is smaller than the sum of its proper divisors (17710848).

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

11000112 is a wasteful number, since it uses less digits than its factorization.

11000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11000112 is about 3316.6416749477. The cubic root of 11000112 is about 222.3987638597.

Adding to 11000112 its reverse (21100011), we get a palindrome (32100123).

Multiplying 11000112 by its reverse (21100011), we get a palindrome (232102484201232).

It can be divided in two parts, 1100011 and 2, that multiplied together give a palindrome (2200022).

The spelling of 11000112 in words is "eleven million, one hundred twelve", and thus it is an aban number.