12154127320729 has 27 divisors (see below), whose sum is σ = 12422073046527. Its totient is φ = 11891941858944.

The previous prime is 12154127320703. The next prime is 12154127320757. The reversal of 12154127320729 is 92702372145121.

The square root of 12154127320729 is 3486277.

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

It can be written as a sum of positive squares in only one way, i.e., 5457666907225 + 6696460413504 = 2336165^2 + 2587752^2 .

It is not a de Polignac number, because 12154127320729 - 2⁹ = 12154127320217 is a prime.

It is a super-2 number, since 2×12154127320729² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12154127326729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42947446222 + ... + 42947446504.

It is an arithmetic number, because the mean of its divisors is an integer number (460076779501).

Almost surely, 2^{12154127320729} is an apocalyptic number.

12154127320729 is the 3486277-th square number.

12154127320729 is the 1743139-th centered octagonal number.

It is an amenable number.

12154127320729 is a deficient number, since it is larger than the sum of its proper divisors (267945725798).

12154127320729 is an frugal number, since it uses more digits than its factorization.

12154127320729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 12154127320729 in words is "twelve trillion, one hundred fifty-four billion, one hundred twenty-seven million, three hundred twenty thousand, seven hundred twenty-nine".