12824144 has 40 divisors (see below), whose sum is σ = 25826472. Its totient is φ = 6164480.

The previous prime is 12824131. The next prime is 12824153. The reversal of 12824144 is 44142821.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 12816400 = 88^2 + 3580^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 74042 + ... + 74214.

Almost surely, 2^12824144 is an apocalyptic number.

It is an amenable number.

12824144 is an abundant number, since it is smaller than the sum of its proper divisors (13002328).

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

12824144 is a wasteful number, since it uses less digits than its factorization.

12824144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 12824144 is about 3581.0814009179. The cubic root of 12824144 is about 234.0684047707.

Adding to 12824144 its reverse (44142821), we get a palindrome (56966965).

The spelling of 12824144 in words is "twelve million, eight hundred twenty-four thousand, one hundred forty-four".