12842128 has 40 divisors (see below), whose sum is σ = 27732600. Its totient is φ = 5720064.

The previous prime is 12842107. The next prime is 12842173. The reversal of 12842128 is 82124821.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 12759184 = 288^2 + 3572^2 .

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 = 12842096 and 12842105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4968 + ... + 7096.

It is an arithmetic number, because the mean of its divisors is an integer number (693315).

Almost surely, 2^12842128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866300).

12842128 is an abundant number, since it is smaller than the sum of its proper divisors (14890472).

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

12842128 is a wasteful number, since it uses less digits than its factorization.

12842128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 12842128 is about 3583.5914945764. The cubic root of 12842128 is about 234.1777693149.

Adding to 12842128 its reverse (82124821), we get a palindrome (94966949).

The spelling of 12842128 in words is "twelve million, eight hundred forty-two thousand, one hundred twenty-eight".