12224136456 has 192 divisors, whose sum is σ = 38575180800. Its totient is φ = 3424982400.

The previous prime is 12224136451. The next prime is 12224136481. The reversal of 12224136456 is 65463142221.

12224136456 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 1 + 3 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime factors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 12224136456.

It is not an unprimeable number, because it can be changed into a prime (12224136451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7549615 + ... + 7551233.

It is an arithmetic number, because the mean of its divisors is an integer number (200912400).

Almost surely, 2^12224136456 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 12224136456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287590400).

12224136456 is an abundant number, since it is smaller than the sum of its proper divisors (26351044344).

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

12224136456 is a wasteful number, since it uses less digits than its factorization.

12224136456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1913 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 12224136456 its reverse (65463142221), we get a palindrome (77687278677).

The spelling of 12224136456 in words is "twelve billion, two hundred twenty-four million, one hundred thirty-six thousand, four hundred fifty-six".