12311106002728 has 128 divisors (see below), whose sum is σ = 26293265107200. Its totient is φ = 5357142835200.

The previous prime is 12311106002719. The next prime is 12311106002773. The reversal of 12311106002728 is 82720060111321.

12311106002728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12311106002693 and 12311106002702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393901950 + ... + 393933202.

It is an arithmetic number, because the mean of its divisors is an integer number (205416133650).

Almost surely, 2^{12311106002728} 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 12311106002728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146632553600).

12311106002728 is an abundant number, since it is smaller than the sum of its proper divisors (13982159104472).

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

12311106002728 is a wasteful number, since it uses less digits than its factorization.

12311106002728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32243 (or 32239 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 12311106002728 in words is "twelve trillion, three hundred eleven billion, one hundred six million, two thousand, seven hundred twenty-eight".