12224000 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 4864000.

The previous prime is 12223987. The next prime is 12224021. The reversal of 12224000 is 42221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

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, 63905 + ... + 64095.

Almost surely, 2^12224000 is an apocalyptic number.

12224000 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 12224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

12224000 is an abundant number, since it is smaller than the sum of its proper divisors (18416896).

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

12224000 is an frugal number, since it uses more digits than its factorization.

12224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12224000 is about 3496.2837413459. The cubic root of 12224000 is about 230.3586088197.

Adding to 12224000 its reverse (42221), we get a palindrome (12266221).

The spelling of 12224000 in words is "twelve million, two hundred twenty-four thousand".