12778128 has 80 divisors (see below), whose sum is σ = 40027200. Its totient is φ = 3870720.

The previous prime is 12778121. The next prime is 12778147. The reversal of 12778128 is 82187721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12778092 and 12778101.

It is not an unprimeable number, because it can be changed into a prime (12778121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (500340).

Almost surely, 2^12778128 is an apocalyptic number.

12778128 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 12778128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013600).

12778128 is an abundant number, since it is smaller than the sum of its proper divisors (27249072).

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

12778128 is a wasteful number, since it uses less digits than its factorization.

12778128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2705 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 12778128 is about 3574.6507521715. The cubic root of 12778128 is about 233.7881053533.

The spelling of 12778128 in words is "twelve million, seven hundred seventy-eight thousand, one hundred twenty-eight".