12888281817216 has 640 divisors, whose sum is σ = 41634167097600. Its totient is φ = 3934236966912.

The previous prime is 12888281817181. The next prime is 12888281817223. The reversal of 12888281817216 is 61271818288821.

12888281817216 is a `hidden beast` number, since 1 + 288 + 8 + 281 + 8 + 1 + 72 + 1 + 6 = 666.

It is a super-2 number, since 2×12888281817216² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11178040896 + ... + 11178042048.

It is an arithmetic number, because the mean of its divisors is an integer number (65053386090).

Almost surely, 2^{12888281817216} is an apocalyptic number.

12888281817216 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 12888281817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20817083548800).

12888281817216 is an abundant number, since it is smaller than the sum of its proper divisors (28745885280384).

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

12888281817216 is a wasteful number, since it uses less digits than its factorization.

12888281817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1757 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 63.

The spelling of 12888281817216 in words is "twelve trillion, eight hundred eighty-eight billion, two hundred eighty-one million, eight hundred seventeen thousand, two hundred sixteen".