12226959360 has 576 divisors, whose sum is σ = 52863632640. Its totient is φ = 2539192320.

The previous prime is 12226959359. The next prime is 12226959379. The reversal of 12226959360 is 6395962221.

12226959360 = 14883² + 14884² + ... + 14937².

12226959360 is a `hidden beast` number, since 1 + 22 + 269 + 5 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 7095459 + ... + 7097181.

It is an arithmetic number, because the mean of its divisors is an integer number (91777140).

Almost surely, 2^12226959360 is an apocalyptic number.

12226959360 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 12226959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26431816320).

12226959360 is an abundant number, since it is smaller than the sum of its proper divisors (40636673280).

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

12226959360 is a wasteful number, since it uses less digits than its factorization.

12226959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12226959360 in words is "twelve billion, two hundred twenty-six million, nine hundred fifty-nine thousand, three hundred sixty".