12128 has 12 divisors (see below), whose sum is σ = 23940. Its totient is φ = 6048.

The previous prime is 12119. The next prime is 12143. The reversal of 12128 is 82121.

Added to its reverse (82121) it gives a square (94249 = 307²).

12128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

12128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

2¹²¹²⁸ is an apocalyptic number.

It is an amenable number.

12128 is a deficient number, since it is larger than the sum of its proper divisors (11812).

12128 is an equidigital number, since it uses as much as digits as its factorization.

12128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 12128 is about 110.1271991835. The cubic root of 12128 is about 22.9753990268.

Adding to 12128 its reverse (82121), we get a palindrome (94249).

The spelling of 12128 in words is "twelve thousand, one hundred twenty-eight".