12227714269056 has 768 divisors, whose sum is σ = 42741373409280. Its totient is φ = 3304588492800.

The previous prime is 12227714269039. The next prime is 12227714269061. The reversal of 12227714269056 is 65096241772221.

It is a happy number.

12227714269056 is a `hidden beast` number, since 12 + 2 + 2 + 7 + 71 + 426 + 90 + 56 = 666.

It is a super-3 number, since 3×12227714269056³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12227714268993 and 12227714269011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3865858131 + ... + 3865861293.

It is an arithmetic number, because the mean of its divisors is an integer number (55652829960).

Almost surely, 2^{12227714269056} is an apocalyptic number.

12227714269056 is a gapful number since it is divisible by the number (16) 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 12227714269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370686704640).

12227714269056 is an abundant number, since it is smaller than the sum of its proper divisors (30513659140224).

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

12227714269056 is a wasteful number, since it uses less digits than its factorization.

12227714269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12227714269056 in words is "twelve trillion, two hundred twenty-seven billion, seven hundred fourteen million, two hundred sixty-nine thousand, fifty-six".