11512116 has 72 divisors (see below), whose sum is σ = 36289344. Its totient is φ = 2989440.

The previous prime is 11512097. The next prime is 11512147. The reversal of 11512116 is 61121511.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 696 + ... + 4848.

Almost surely, 2^11512116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144672).

11512116 is an abundant number, since it is smaller than the sum of its proper divisors (24777228).

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

11512116 is a wasteful number, since it uses less digits than its factorization.

11512116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4176 counting only the distinct ones).

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

The square root of 11512116 is about 3392.9509280271. The cubic root of 11512116 is about 225.7971134510.

Adding to 11512116 its reverse (61121511), we get a palindrome (72633627).

It can be divided in two parts, 11512 and 116, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11512116 in words is "eleven million, five hundred twelve thousand, one hundred sixteen".