12112128 has 108 divisors (see below), whose sum is σ = 39964288. Its totient is φ = 3456000.

The previous prime is 12112127. The next prime is 12112159. The reversal of 12112128 is 82121121.

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 a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12112128.

It is not an unprimeable number, because it can be changed into a prime (12112127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15753 + ... + 16503.

Almost surely, 2^12112128 is an apocalyptic number.

12112128 is a gapful number since it is divisible by the number (18) 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 12112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982144).

12112128 is an abundant number, since it is smaller than the sum of its proper divisors (27852160).

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

12112128 is an equidigital number, since it uses as much as digits as its factorization.

12112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 12112128 is about 3480.2482670062. The cubic root of 12112128 is about 229.6537196191.

Adding to 12112128 its reverse (82121121), we get a palindrome (94233249).

The spelling of 12112128 in words is "twelve million, one hundred twelve thousand, one hundred twenty-eight".