128412 has 48 divisors (see below), whose sum is σ = 352800. Its totient is φ = 40320.

The previous prime is 128411. The next prime is 128413. The reversal of 128412 is 214821.

It is an interprime number because it is at equal distance from previous prime (128411) and next prime (128413).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3112 + ... + 3152.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2¹²⁸⁴¹² is an apocalyptic number.

128412 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 128412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

128412 is an abundant number, since it is smaller than the sum of its proper divisors (224388).

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

128412 is a wasteful number, since it uses less digits than its factorization.

128412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 128412 is about 358.3462013193. The cubic root of 128412 is about 50.4508556967.

It can be divided in two parts, 1284 and 12, that added together give a 4-th power (1296 = 6⁴).

The spelling of 128412 in words is "one hundred twenty-eight thousand, four hundred twelve".