12401328 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3897600.

The previous prime is 12401317. The next prime is 12401351. The reversal of 12401328 is 82310421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82053 + ... + 82203.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^12401328 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 12401328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

12401328 is an abundant number, since it is smaller than the sum of its proper divisors (21525072).

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

12401328 is a wasteful number, since it uses less digits than its factorization.

12401328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12401328 is about 3521.5519306124. The cubic root of 12401328 is about 231.4671679917.

Adding to 12401328 its reverse (82310421), we get a palindrome (94711749).

The spelling of 12401328 in words is "twelve million, four hundred one thousand, three hundred twenty-eight".