11114112 has 64 divisors (see below), whose sum is σ = 29914560. Its totient is φ = 3655680.

The previous prime is 11114101. The next prime is 11114113. The reversal of 11114112 is 21141111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11114113) 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, 39412 + ... + 39692.

It is an arithmetic number, because the mean of its divisors is an integer number (467415).

Almost surely, 2^11114112 is an apocalyptic number.

11114112 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 11114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957280).

11114112 is an abundant number, since it is smaller than the sum of its proper divisors (18800448).

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

11114112 is a wasteful number, since it uses less digits than its factorization.

11114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 11114112 is about 3333.7834362778. The cubic root of 11114112 is about 223.1644038248.

Adding to 11114112 its reverse (21141111), we get a palindrome (32255223).

The spelling of 11114112 in words is "eleven million, one hundred fourteen thousand, one hundred twelve".