12662293728 has 192 divisors, whose sum is σ = 41277358080. Its totient is φ = 3316723200.

The previous prime is 12662293723. The next prime is 12662293733. The reversal of 12662293728 is 82739226621.

12662293728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12662293723) and next prime (12662293733).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12662293723) 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 31 ways as a sum of consecutive naturals, for example, 379813 + ... + 411803.

It is an arithmetic number, because the mean of its divisors is an integer number (214986240).

Almost surely, 2^12662293728 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 12662293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638679040).

12662293728 is an abundant number, since it is smaller than the sum of its proper divisors (28615064352).

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

12662293728 is a wasteful number, since it uses less digits than its factorization.

12662293728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32061 (or 32053 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 12662293728 in words is "twelve billion, six hundred sixty-two million, two hundred ninety-three thousand, seven hundred twenty-eight".