12681281302560 has 384 divisors, whose sum is σ = 50610366293760. Its totient is φ = 2937925582848.

The previous prime is 12681281302489. The next prime is 12681281302597. The reversal of 12681281302560 is 6520318218621.

12681281302560 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 1 + 2 + 81 + 3 + 0 + 2 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5686642 + ... + 7596081.

It is an arithmetic number, because the mean of its divisors is an integer number (131797828890).

Almost surely, 2^{12681281302560} is an apocalyptic number.

12681281302560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12681281302560 is an abundant number, since it is smaller than the sum of its proper divisors (37929084991200).

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

12681281302560 is a wasteful number, since it uses less digits than its factorization.

12681281302560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13282777 (or 13282763 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12681281302560 in words is "twelve trillion, six hundred eighty-one billion, two hundred eighty-one million, three hundred two thousand, five hundred sixty".