12772519312 has 80 divisors (see below), whose sum is σ = 29247683584. Its totient is φ = 5287680000.

The previous prime is 12772519297. The next prime is 12772519349. The reversal of 12772519312 is 21391527721.

12772519312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12772519312⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2083612 + ... + 2089732.

Almost surely, 2^12772519312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12772519312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623841792).

12772519312 is an abundant number, since it is smaller than the sum of its proper divisors (16475164272).

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

12772519312 is a wasteful number, since it uses less digits than its factorization.

12772519312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6762 counting only the distinct ones).

The product of its digits is 52920, while the sum is 40.

The spelling of 12772519312 in words is "twelve billion, seven hundred seventy-two million, five hundred nineteen thousand, three hundred twelve".