12720118542768 has 1600 divisors, whose sum is σ = 47670283406592. Its totient is φ = 3186164367360.

The previous prime is 12720118542749. The next prime is 12720118542779. The reversal of 12720118542768 is 86724581102721.

12720118542768 is a `hidden beast` number, since 1 + 2 + 7 + 20 + 1 + 1 + 8 + 542 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 27833957196 + ... + 27833957652.

Almost surely, 2^{12720118542768} is an apocalyptic number.

12720118542768 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 12720118542768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23835141703296).

12720118542768 is an abundant number, since it is smaller than the sum of its proper divisors (34950164863824).

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

12720118542768 is a wasteful number, since it uses less digits than its factorization.

12720118542768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 12720118542768 in words is "twelve trillion, seven hundred twenty billion, one hundred eighteen million, five hundred forty-two thousand, seven hundred sixty-eight".