12127789648 has 40 divisors (see below), whose sum is σ = 25433637768. Its totient is φ = 5569009152.

The previous prime is 12127789643. The next prime is 12127789679. The reversal of 12127789648 is 84698772121.

12127789648 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 4 ways, for example, as 6543515664 + 5584273984 = 80892^2 + 74728^2 .

It is a super-2 number, since 2×12127789648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127789643) 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 7 ways as a sum of consecutive naturals, for example, 107011 + ... + 188962.

Almost surely, 2^12127789648 is an apocalyptic number.

It is an amenable number.

12127789648 is an abundant number, since it is smaller than the sum of its proper divisors (13305848120).

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

12127789648 is a wasteful number, since it uses less digits than its factorization.

12127789648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296191 (or 296185 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

It can be divided in two parts, 121277 and 89648, that added together give a triangular number (210925 = T₆₄₉).

The spelling of 12127789648 in words is "twelve billion, one hundred twenty-seven million, seven hundred eighty-nine thousand, six hundred forty-eight".