128112 has 40 divisors (see below), whose sum is σ = 352656. Its totient is φ = 39936.

The previous prime is 128111. The next prime is 128113. The reversal of 128112 is 211821.

It is an interprime number because it is at equal distance from previous prime (128111) and next prime (128113).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 128091 and 128100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 894.

2¹²⁸¹¹² is an apocalyptic number.

128112 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 128112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176328).

128112 is an abundant number, since it is smaller than the sum of its proper divisors (224544).

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

128112 is a wasteful number, since it uses less digits than its factorization.

128112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 128112 is about 357.9273669336. The cubic root of 128112 is about 50.4115367896.

Adding to 128112 its reverse (211821), we get a palindrome (339933).

It can be divided in two parts, 12 and 8112, that multiplied together give a square (97344 = 312²).

The spelling of 128112 in words is "one hundred twenty-eight thousand, one hundred twelve".