12736128 has 64 divisors (see below), whose sum is σ = 35838720. Its totient is φ = 3993600.

The previous prime is 12736123. The next prime is 12736151. The reversal of 12736128 is 82163721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12736095 and 12736104.

It is not an unprimeable number, because it can be changed into a prime (12736123) 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, 5553 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (559980).

Almost surely, 2^12736128 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 12736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360).

12736128 is an abundant number, since it is smaller than the sum of its proper divisors (23102592).

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

12736128 is a wasteful number, since it uses less digits than its factorization.

12736128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1973 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 12736128 is about 3568.7712170998. The cubic root of 12736128 is about 233.5316807780.

Adding to 12736128 its reverse (82163721), we get a palindrome (94899849).

The spelling of 12736128 in words is "twelve million, seven hundred thirty-six thousand, one hundred twenty-eight".