12720405812688 has 240 divisors, whose sum is σ = 41039374311936. Its totient is φ = 3602814209280.

The previous prime is 12720405812683. The next prime is 12720405812689. The reversal of 12720405812688 is 88621850402721.

12720405812688 is a `hidden beast` number, since 12 + 7 + 2 + 0 + 40 + 581 + 2 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12720405812683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124998595 + ... + 125100317.

Almost surely, 2^{12720405812688} is an apocalyptic number.

12720405812688 is a gapful number since it is divisible by the number (18) 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 12720405812688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519687155968).

12720405812688 is an abundant number, since it is smaller than the sum of its proper divisors (28318968499248).

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

12720405812688 is a wasteful number, since it uses less digits than its factorization.

12720405812688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102822 (or 102813 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 12720405812688 in words is "twelve trillion, seven hundred twenty billion, four hundred five million, eight hundred twelve thousand, six hundred eighty-eight".