12112416 has 60 divisors (see below), whose sum is σ = 35629902. Its totient is φ = 4036608.

The previous prime is 12112411. The next prime is 12112423. The reversal of 12112416 is 61421121.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 4822416 = 2700^2 + 2196^2 .

It is a super-4 number, since 4×12112416⁴ (a number of 29 digits) contains 4444 as substring.

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

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 not an unprimeable number, because it can be changed into a prime (12112411) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 256 + ... + 4928.

Almost surely, 2^12112416 is an apocalyptic number.

12112416 is a gapful number since it is divisible by the number (16) 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 12112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17814951).

12112416 is an abundant number, since it is smaller than the sum of its proper divisors (23517486).

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

12112416 is an equidigital number, since it uses as much as digits as its factorization.

12112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4678 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12112416 is about 3480.2896431188. The cubic root of 12112416 is about 229.6555398263.

Adding to 12112416 its reverse (61421121), we get a palindrome (73533537).

The spelling of 12112416 in words is "twelve million, one hundred twelve thousand, four hundred sixteen".