12948128 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 6182400.

The previous prime is 12948097. The next prime is 12948163. The reversal of 12948128 is 82184921.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93083 + ... + 93221.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^12948128 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 12948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

12948128 is an abundant number, since it is smaller than the sum of its proper divisors (13723552).

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

12948128 is a wasteful number, since it uses less digits than its factorization.

12948128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 12948128 is about 3598.3507333221. The cubic root of 12948128 is about 234.8203123163.

The spelling of 12948128 in words is "twelve million, nine hundred forty-eight thousand, one hundred twenty-eight".