11516112 has 30 divisors (see below), whose sum is σ = 32229522. Its totient is φ = 3838656.

The previous prime is 11516111. The next prime is 11516137. The reversal of 11516112 is 21161511.

It is a happy number.

11516112 is a `hidden beast` number, since 1 + 1 + 51 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9511056 + 2005056 = 3084^2 + 1416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39843 + ... + 40130.

Almost surely, 2^11516112 is an apocalyptic number.

11516112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11516112 is an abundant number, since it is smaller than the sum of its proper divisors (20713410).

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

11516112 is a wasteful number, since it uses less digits than its factorization.

11516112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79987 (or 79978 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The square root of 11516112 is about 3393.5397448682. The cubic root of 11516112 is about 225.8232360997.

Adding to 11516112 its reverse (21161511), we get a palindrome (32677623).

It can be divided in two parts, 11516 and 112, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11516112 in words is "eleven million, five hundred sixteen thousand, one hundred twelve".