11116512 has 144 divisors (see below), whose sum is σ = 35970480. Its totient is φ = 3252480.

The previous prime is 11116499. The next prime is 11116517. The reversal of 11116512 is 21561111.

It is a happy number.

11116512 is a `hidden beast` number, since 1 + 1 + 11 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11116512² = 247153678092288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (11116517) 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 23 ways as a sum of consecutive naturals, for example, 383314 + ... + 383342.

It is an arithmetic number, because the mean of its divisors is an integer number (249795).

Almost surely, 2^11116512 is an apocalyptic number.

11116512 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 11116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985240).

11116512 is an abundant number, since it is smaller than the sum of its proper divisors (24853968).

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

11116512 is a wasteful number, since it uses less digits than its factorization.

11116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

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

The square root of 11116512 is about 3334.1433682432. The cubic root of 11116512 is about 223.1804661673.

Adding to 11116512 its reverse (21561111), we get a palindrome (32677623).

It can be divided in two parts, 11116 and 512, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11116512 in words is "eleven million, one hundred sixteen thousand, five hundred twelve".