12707281381872 has 640 divisors, whose sum is σ = 43810718220288. Its totient is φ = 3076084915200.

The previous prime is 12707281381831. The next prime is 12707281381889. The reversal of 12707281381872 is 27818318270721.

It is a super-2 number, since 2×12707281381872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 906943347 + ... + 906957357.

Almost surely, 2^{12707281381872} is an apocalyptic number.

12707281381872 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 12707281381872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905359110144).

12707281381872 is an abundant number, since it is smaller than the sum of its proper divisors (31103436838416).

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

12707281381872 is a wasteful number, since it uses less digits than its factorization.

12707281381872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14337 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 57.

The spelling of 12707281381872 in words is "twelve trillion, seven hundred seven billion, two hundred eighty-one million, three hundred eighty-one thousand, eight hundred seventy-two".