12721732660116 has 96 divisors (see below), whose sum is σ = 33361989857280. Its totient is φ = 4191997525632.

The previous prime is 12721732660103. The next prime is 12721732660129. The reversal of 12721732660116 is 61106623712721.

12721732660116 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 7 + 3 + 26 + 601 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (12721732660103) and next prime (12721732660129).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2125126 + ... + 5473538.

It is an arithmetic number, because the mean of its divisors is an integer number (347520727680).

Almost surely, 2^{12721732660116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721732660116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680994928640).

12721732660116 is an abundant number, since it is smaller than the sum of its proper divisors (20640257197164).

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

12721732660116 is a wasteful number, since it uses less digits than its factorization.

12721732660116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348830 (or 3348822 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 1272173 and 2660116, that added together give a square (3932289 = 1983²).

The spelling of 12721732660116 in words is "twelve trillion, seven hundred twenty-one billion, seven hundred thirty-two million, six hundred sixty thousand, one hundred sixteen".