12840114131712 has 720 divisors, whose sum is σ = 44771896350720. Its totient is φ = 3583766716416.

The previous prime is 12840114131659. The next prime is 12840114131783. The reversal of 12840114131712 is 21713141104821.

12840114131712 is a `hidden beast` number, since 1 + 28 + 40 + 11 + 413 + 171 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4413925714 + ... + 4413928622.

It is an arithmetic number, because the mean of its divisors is an integer number (62183189376).

Almost surely, 2^{12840114131712} is an apocalyptic number.

12840114131712 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 12840114131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385948175360).

12840114131712 is an abundant number, since it is smaller than the sum of its proper divisors (31931782219008).

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

12840114131712 is an equidigital number, since it uses as much as digits as its factorization.

12840114131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 12840114131712 in words is "twelve trillion, eight hundred forty billion, one hundred fourteen million, one hundred thirty-one thousand, seven hundred twelve".