12772364645125 has 16 divisors (see below), whose sum is σ = 15959911090032. Its totient is φ = 10205071195200.

The previous prime is 12772364645113. The next prime is 12772364645147. The reversal of 12772364645125 is 52154646327721.

12772364645125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1948587062724 + 10823777582401 = 1395918^2 + 3289951^2 .

It is not a de Polignac number, because 12772364645125 - 2⁷ = 12772364644997 is a prime.

It is a super-3 number, since 3×12772364645125³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64002582 + ... + 64201831.

It is an arithmetic number, because the mean of its divisors is an integer number (997494443127).

Almost surely, 2^{12772364645125} is an apocalyptic number.

It is an amenable number.

12772364645125 is a deficient number, since it is larger than the sum of its proper divisors (3187546444907).

12772364645125 is an equidigital number, since it uses as much as digits as its factorization.

12772364645125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128205225 (or 128205215 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 12772364645125 in words is "twelve trillion, seven hundred seventy-two billion, three hundred sixty-four million, six hundred forty-five thousand, one hundred twenty-five".