12881342177280 has 672 divisors, whose sum is σ = 45311571901440. Its totient is φ = 3384708956160.

The previous prime is 12881342177177. The next prime is 12881342177299. The reversal of 12881342177280 is 8277124318821.

12881342177280 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 1 + 342 + 17 + 7 + 280 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7956356311 + ... + 7956357929.

Almost surely, 2^{12881342177280} is an apocalyptic number.

12881342177280 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 12881342177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655785950720).

12881342177280 is an abundant number, since it is smaller than the sum of its proper divisors (32430229724160).

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

12881342177280 is a wasteful number, since it uses less digits than its factorization.

12881342177280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 12881342177280 in words is "twelve trillion, eight hundred eighty-one billion, three hundred forty-two million, one hundred seventy-seven thousand, two hundred eighty".