12734270757121 has 9 divisors (see below), whose sum is σ = 12774043970499. Its totient is φ = 12694621031400.

The previous prime is 12734270757101. The next prime is 12734270757137. The reversal of 12734270757121 is 12175707243721.

The square root of 12734270757121 is 3568511.

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., 3661524347121 + 9072746410000 = 1913511^2 + 3012100^2 .

It is not a de Polignac number, because 12734270757121 - 2⁷ = 12734270756993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12734270757101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1181171751 + ... + 1181182531.

Almost surely, 2^{12734270757121} is an apocalyptic number.

12734270757121 is the 3568511-st square number.

12734270757121 is the 1784256-th centered octagonal number.

It is an amenable number.

12734270757121 is a deficient number, since it is larger than the sum of its proper divisors (39773213378).

12734270757121 is an frugal number, since it uses more digits than its factorization.

12734270757121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 49.

Multiplying 12734270757121 by its sum of digits (49), we get a square (623979267098929 = 24979577²).

The spelling of 12734270757121 in words is "twelve trillion, seven hundred thirty-four billion, two hundred seventy million, seven hundred fifty-seven thousand, one hundred twenty-one".