12128973648 has 160 divisors (see below), whose sum is σ = 34969190400. Its totient is φ = 3591744000.

The previous prime is 12128973599. The next prime is 12128973653. The reversal of 12128973648 is 84637982121.

It is a happy number.

12128973648 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-2 number, since 2×12128973648² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12128973648.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4211473 + ... + 4214351.

It is an arithmetic number, because the mean of its divisors is an integer number (218557440).

Almost surely, 2^12128973648 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 12128973648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484595200).

12128973648 is an abundant number, since it is smaller than the sum of its proper divisors (22840216752).

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

12128973648 is a wasteful number, since it uses less digits than its factorization.

12128973648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 12128973648 in words is "twelve billion, one hundred twenty-eight million, nine hundred seventy-three thousand, six hundred forty-eight".