12661128 has 48 divisors (see below), whose sum is σ = 35135100. Its totient is φ = 4116480.

The previous prime is 12661123. The next prime is 12661147. The reversal of 12661128 is 82116621.

12661128 is a `hidden beast` number, since 1 + 26 + 611 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12659364 + 1764 = 3558^2 + 42^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12661123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808 + ... + 5096.

Almost surely, 2^12661128 is an apocalyptic number.

12661128 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 12661128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567550).

12661128 is an abundant number, since it is smaller than the sum of its proper divisors (22473972).

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

12661128 is a wasteful number, since it uses less digits than its factorization.

12661128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4335 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12661128 is about 3558.2478834393. The cubic root of 12661128 is about 233.0723740123.

Adding to 12661128 its reverse (82116621), we get a palindrome (94777749).

The spelling of 12661128 in words is "twelve million, six hundred sixty-one thousand, one hundred twenty-eight".