12224769480 has 640 divisors, whose sum is σ = 53944704000. Its totient is φ = 2405583360.

The previous prime is 12224769467. The next prime is 12224769509. The reversal of 12224769480 is 8496742221.

12224769480 is a `hidden beast` number, since 12 + 2 + 2 + 476 + 94 + 80 = 666.

12224769480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4738831 + ... + 4741409.

It is an arithmetic number, because the mean of its divisors is an integer number (84288600).

Almost surely, 2^12224769480 is an apocalyptic number.

12224769480 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 12224769480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26972352000).

12224769480 is an abundant number, since it is smaller than the sum of its proper divisors (41719934520).

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

12224769480 is a wasteful number, since it uses less digits than its factorization.

12224769480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12224769480 in words is "twelve billion, two hundred twenty-four million, seven hundred sixty-nine thousand, four hundred eighty".