12730128 has 40 divisors (see below), whose sum is σ = 33191328. Its totient is φ = 4204032.

The previous prime is 12730121. The next prime is 12730153. The reversal of 12730128 is 82103721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12730098 and 12730107.

It is not an unprimeable number, because it can be changed into a prime (12730121) 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, 4251 + ... + 6597.

Almost surely, 2^12730128 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 12730128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595664).

12730128 is an abundant number, since it is smaller than the sum of its proper divisors (20461200).

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

12730128 is a wasteful number, since it uses less digits than its factorization.

12730128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12730128 is about 3567.9304925965. The cubic root of 12730128 is about 233.4950026977.

Adding to 12730128 its reverse (82103721), we get a palindrome (94833849).

The spelling of 12730128 in words is "twelve million, seven hundred thirty thousand, one hundred twenty-eight".