12226381440 has 1024 divisors, whose sum is σ = 52641792000. Its totient is φ = 2341011456.

The previous prime is 12226381439. The next prime is 12226381451. The reversal of 12226381440 is 4418362221.

12226381440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 96270657 + ... + 96270783.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 2^12226381440 is an apocalyptic number.

12226381440 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 12226381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320896000).

12226381440 is an abundant number, since it is smaller than the sum of its proper divisors (40415410560).

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

12226381440 is a wasteful number, since it uses less digits than its factorization.

12226381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 12226381440 in words is "twelve billion, two hundred twenty-six million, three hundred eighty-one thousand, four hundred forty".