12769000000 has 147 divisors (see below), whose sum is σ = 31955469871. Its totient is φ = 5062400000.

The previous prime is 12768999977. The next prime is 12769000007. The reversal of 12769000000 is 96721.

The square root of 12769000000 is 113000.

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

12769000000 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 10 ways, for example, as 2858399296 + 9910600704 = 53464^2 + 99552^2 .

It is a super-2 number, since 2×12769000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12769000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 112999944 + ... + 113000056.

Almost surely, 2^12769000000 is an apocalyptic number.

12769000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12769000000 is the 113000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12769000000

12769000000 is an abundant number, since it is smaller than the sum of its proper divisors (19186469871).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12769000000 is an frugal number, since it uses more digits than its factorization.

12769000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

Multiplying 12769000000 by its sum of digits (25), we get a square (319225000000 = 565000²).

12769000000 divided by its sum of digits (25) gives a square (510760000 = 22600²).

Adding to 12769000000 its reverse (96721), we get a palindrome (12769096721).

The spelling of 12769000000 in words is "twelve billion, seven hundred sixty-nine million", and thus it is an aban number.