12771712145 has 16 divisors (see below), whose sum is σ = 16330964688. Its totient is φ = 9555087360.

The previous prime is 12771712127. The next prime is 12771712183. The reversal of 12771712145 is 54121717721.

It is a Cunningham number, because it is equal to 113012²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 85969984 + 12685742161 = 9272^2 + 112631^2 .

It is not a de Polignac number, because 12771712145 - 2⁶ = 12771712081 is a prime.

It is a super-2 number, since 2×12771712145² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12771712099 and 12771712108.

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, 465176 + ... + 491865.

It is an arithmetic number, because the mean of its divisors is an integer number (1020685293).

Almost surely, 2^12771712145 is an apocalyptic number.

It is an amenable number.

12771712145 is a deficient number, since it is larger than the sum of its proper divisors (3559252543).

12771712145 is a wasteful number, since it uses less digits than its factorization.

12771712145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957220.

The product of its digits is 27440, while the sum is 38.

The spelling of 12771712145 in words is "twelve billion, seven hundred seventy-one million, seven hundred twelve thousand, one hundred forty-five".