12448000 has 72 divisors (see below), whose sum is σ = 31089240. Its totient is φ = 4966400.

The previous prime is 12447977. The next prime is 12448001. The reversal of 12448000 is 84421.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 10969344 = 1216^2 + 3312^2 .

It is not an unprimeable number, because it can be changed into a prime (12448001) 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 7 ways as a sum of consecutive naturals, for example, 31806 + ... + 32194.

It is an arithmetic number, because the mean of its divisors is an integer number (431795).

Almost surely, 2^12448000 is an apocalyptic number.

12448000 is a gapful number since it is divisible by the number (10) 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 12448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544620).

12448000 is an abundant number, since it is smaller than the sum of its proper divisors (18641240).

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

12448000 is an frugal number, since it uses more digits than its factorization.

12448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12448000 is about 3528.1723313920. The cubic root of 12448000 is about 231.7571775680.

The spelling of 12448000 in words is "twelve million, four hundred forty-eight thousand".