12065014681729 has 9 divisors (see below), whose sum is σ = 12191019006537. Its totient is φ = 11940299633664.

The previous prime is 12065014681717. The next prime is 12065014681763. The reversal of 12065014681729 is 92718641056021.

The square root of 12065014681729 is 3473473.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25835740225 + 12039178941504 = 160735^2 + 3469752^2 .

It is not a de Polignac number, because 12065014681729 - 2⁵ = 12065014681697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12065014681229) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 336908977 + ... + 336944785.

It is an arithmetic number, because the mean of its divisors is an integer number (1354557667393).

Almost surely, 2^{12065014681729} is an apocalyptic number.

12065014681729 is the 3473473-rd square number.

12065014681729 is the 1736737-th centered octagonal number.

It is an amenable number.

12065014681729 is a deficient number, since it is larger than the sum of its proper divisors (126004324808).

12065014681729 is an frugal number, since it uses more digits than its factorization.

12065014681729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71812 (or 35906 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 12065014681729 in words is "twelve trillion, sixty-five billion, fourteen million, six hundred eighty-one thousand, seven hundred twenty-nine".