12824000 has 112 divisors (see below), whose sum is σ = 36454080. Its totient is φ = 4377600.

The previous prime is 12823999. The next prime is 12824017. The reversal of 12824000 is 42821.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 12824000.

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 15 ways as a sum of consecutive naturals, for example, 55886 + ... + 56114.

Almost surely, 2^12824000 is an apocalyptic number.

12824000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227040).

12824000 is an abundant number, since it is smaller than the sum of its proper divisors (23630080).

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

12824000 is an equidigital number, since it uses as much as digits as its factorization.

12824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12824000 is about 3581.0612952029. The cubic root of 12824000 is about 234.0675286634.

Adding to 12824000 its reverse (42821), we get a palindrome (12866821).

The spelling of 12824000 in words is "twelve million, eight hundred twenty-four thousand".