11816112 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2914560.

The previous prime is 11816111. The next prime is 11816131. The reversal of 11816112 is 21161811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11816111) 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, 84939 + ... + 85077.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^11816112 is an apocalyptic number.

11816112 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 11816112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11816112 is an abundant number, since it is smaller than the sum of its proper divisors (28181328).

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

11816112 is a wasteful number, since it uses less digits than its factorization.

11816112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 96, while the sum is 21.

The square root of 11816112 is about 3437.4571997335. The cubic root of 11816112 is about 227.7673835608.

Adding to 11816112 its reverse (21161811), we get a palindrome (32977923).

The spelling of 11816112 in words is "eleven million, eight hundred sixteen thousand, one hundred twelve".