11126112 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3546752.

The previous prime is 11126099. The next prime is 11126113. The reversal of 11126112 is 21162111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 junction number, because it is equal to n+sod(n) for n = 11126091 and 11126100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126113) 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, 312 + ... + 4727.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^11126112 is an apocalyptic number.

11126112 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 11126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11126112 is an abundant number, since it is smaller than the sum of its proper divisors (19355808).

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

11126112 is a wasteful number, since it uses less digits than its factorization.

11126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5067 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 11126112 is about 3335.5827077139. The cubic root of 11126112 is about 223.2446924289.

Adding to 11126112 its reverse (21162111), we get a palindrome (32288223).

It can be divided in two parts, 1112611 and 2, that multiplied together give a palindrome (2225222).

The spelling of 11126112 in words is "eleven million, one hundred twenty-six thousand, one hundred twelve".