11417112 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3258144.

The previous prime is 11417111. The next prime is 11417113. The reversal of 11417112 is 21171411.

It is an interprime number because it is at equal distance from previous prime (11417111) and next prime (11417113).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11417111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13189 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^11417112 is an apocalyptic number.

11417112 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 11417112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

11417112 is an abundant number, since it is smaller than the sum of its proper divisors (25274088).

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

11417112 is an equidigital number, since it uses as much as digits as its factorization.

11417112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 11417112 is about 3378.9217214964. The cubic root of 11417112 is about 225.1742649950.

Adding to 11417112 its reverse (21171411), we get a palindrome (32588523).

The spelling of 11417112 in words is "eleven million, four hundred seventeen thousand, one hundred twelve".