12224827440 has 240 divisors, whose sum is σ = 46984641600. Its totient is φ = 2790402048.

The previous prime is 12224827421. The next prime is 12224827469. The reversal of 12224827440 is 4472842221.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12224827395 and 12224827404.

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 47 ways as a sum of consecutive naturals, for example, 5386626 + ... + 5388894.

It is an arithmetic number, because the mean of its divisors is an integer number (195769340).

Almost surely, 2^12224827440 is an apocalyptic number.

12224827440 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 12224827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492320800).

12224827440 is an abundant number, since it is smaller than the sum of its proper divisors (34759814160).

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

12224827440 is a wasteful number, since it uses less digits than its factorization.

12224827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 12224827440 in words is "twelve billion, two hundred twenty-four million, eight hundred twenty-seven thousand, four hundred forty".