12821248 has 72 divisors (see below), whose sum is σ = 29065680. Its totient is φ = 5591040.

The previous prime is 12821227. The next prime is 12821261. The reversal of 12821248 is 84212821.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

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, 81586 + ... + 81742.

It is an arithmetic number, because the mean of its divisors is an integer number (403690).

Almost surely, 2^12821248 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 12821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532840).

12821248 is an abundant number, since it is smaller than the sum of its proper divisors (16244432).

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

12821248 is a wasteful number, since it uses less digits than its factorization.

12821248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 12821248 is about 3580.6770309538. The cubic root of 12821248 is about 234.0507840200.

The spelling of 12821248 in words is "twelve million, eight hundred twenty-one thousand, two hundred forty-eight".