12005824 has 28 divisors (see below), whose sum is σ = 24003000. Its totient is φ = 5957888.

The previous prime is 12005813. The next prime is 12005827. The reversal of 12005824 is 42850021.

It is a junction number, because it is equal to n+sod(n) for n = 12005795 and 12005804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005827) 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 3 ways as a sum of consecutive naturals, for example, 8907 + ... + 10165.

It is an arithmetic number, because the mean of its divisors is an integer number (857250).

Almost surely, 2^12005824 is an apocalyptic number.

It is an amenable number.

12005824 is a deficient number, since it is larger than the sum of its proper divisors (11997176).

12005824 is a wasteful number, since it uses less digits than its factorization.

12005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12005824 is about 3464.9421351590. The cubic root of 12005824 is about 228.9798803856.

Adding to 12005824 its reverse (42850021), we get a palindrome (54855845).

The spelling of 12005824 in words is "twelve million, five thousand, eight hundred twenty-four".