12180888752769 has 27 divisors (see below), whose sum is σ = 19339720652707. Its totient is φ = 7382287017600.

The previous prime is 12180888752761. The next prime is 12180888752863. The reversal of 12180888752769 is 96725788808121.

The square root of 12180888752769 is 3490113.

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

12180888752769 is a `hidden beast` number, since 1 + 2 + 18 + 0 + 8 + 8 + 87 + 527 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192951983169 + 11987936769600 = 439263^2 + 3462360^2 .

It is not a de Polignac number, because 12180888752769 - 2³ = 12180888752761 is a prime.

It is a super-2 number, since 2×12180888752769² (a number of 27 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 = 12180888752697 and 12180888752706.

It is not an unprimeable number, because it can be changed into a prime (12180888752761) 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, 115120849 + ... + 115226609.

Almost surely, 2^{12180888752769} is an apocalyptic number.

12180888752769 is the 3490113-rd square number.

12180888752769 is the 1745057-th centered octagonal number.

It is an amenable number.

12180888752769 is a deficient number, since it is larger than the sum of its proper divisors (7158831899938).

12180888752769 is an frugal number, since it uses more digits than its factorization.

12180888752769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211550 (or 105775 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 12180888752769 in words is "twelve trillion, one hundred eighty billion, eight hundred eighty-eight million, seven hundred fifty-two thousand, seven hundred sixty-nine".