12812448 has 72 divisors (see below), whose sum is σ = 37001664. Its totient is φ = 3879040.

The previous prime is 12812419. The next prime is 12812473. The reversal of 12812448 is 84421821.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11065 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (513912).

Almost surely, 2^12812448 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 12812448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832).

12812448 is an abundant number, since it is smaller than the sum of its proper divisors (24189216).

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

12812448 is a wasteful number, since it uses less digits than its factorization.

12812448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1119 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 12812448 is about 3579.4480021366. The cubic root of 12812448 is about 233.9972240156.

The spelling of 12812448 in words is "twelve million, eight hundred twelve thousand, four hundred forty-eight".