12881218780872 has 384 divisors, whose sum is σ = 40598024463360. Its totient is φ = 3654292561920.

The previous prime is 12881218780867. The next prime is 12881218780883. The reversal of 12881218780872 is 27808781218821.

12881218780872 is a `hidden beast` number, since 1 + 288 + 1 + 218 + 78 + 0 + 8 + 72 = 666.

It is a super-4 number, since 4×12881218780872⁴ (a number of 54 digits) contains 4444 as substring.

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, 177334753 + ... + 177407375.

It is an arithmetic number, because the mean of its divisors is an integer number (105724022040).

Almost surely, 2^{12881218780872} is an apocalyptic number.

12881218780872 is a gapful number since it is divisible by the number (12) 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 12881218780872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299012231680).

12881218780872 is an abundant number, since it is smaller than the sum of its proper divisors (27716805682488).

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

12881218780872 is a wasteful number, since it uses less digits than its factorization.

12881218780872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72893 (or 72886 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 63.

The spelling of 12881218780872 in words is "twelve trillion, eight hundred eighty-one billion, two hundred eighteen million, seven hundred eighty thousand, eight hundred seventy-two".