12205824 has 72 divisors (see below), whose sum is σ = 33946752. Its totient is φ = 3886080.

The previous prime is 12205799. The next prime is 12205829. The reversal of 12205824 is 42850221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12205794 and 12205803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205829) 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, 17319 + ... + 18009.

Almost surely, 2^12205824 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 12205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973376).

12205824 is an abundant number, since it is smaller than the sum of its proper divisors (21740928).

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

12205824 is an equidigital number, since it uses as much as digits as its factorization.

12205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12205824 is about 3493.6834430154. The cubic root of 12205824 is about 230.2443779345.

The spelling of 12205824 in words is "twelve million, two hundred five thousand, eight hundred twenty-four".