12805128 has 96 divisors (see below), whose sum is σ = 41146560. Its totient is φ = 3654720.

The previous prime is 12805127. The next prime is 12805129. The reversal of 12805128 is 82150821.

It is an interprime number because it is at equal distance from previous prime (12805127) and next prime (12805129).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13138 + ... + 14078.

It is an arithmetic number, because the mean of its divisors is an integer number (428610).

Almost surely, 2^12805128 is an apocalyptic number.

12805128 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 12805128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573280).

12805128 is an abundant number, since it is smaller than the sum of its proper divisors (28341432).

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

12805128 is an equidigital number, since it uses as much as digits as its factorization.

12805128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12805128 is about 3578.4253520229. The cubic root of 12805128 is about 233.9526531425.

Adding to 12805128 its reverse (82150821), we get a palindrome (94955949).

The spelling of 12805128 in words is "twelve million, eight hundred five thousand, one hundred twenty-eight".