12127648070528 has 128 divisors (see below), whose sum is σ = 25001138073600. Its totient is φ = 5853833717760.

The previous prime is 12127648070519. The next prime is 12127648070533. The reversal of 12127648070528 is 82507084672121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12127648070528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3409514126 + ... + 3409517682.

It is an arithmetic number, because the mean of its divisors is an integer number (195321391200).

Almost surely, 2^{12127648070528} 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 12127648070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500569036800).

12127648070528 is an abundant number, since it is smaller than the sum of its proper divisors (12873490003072).

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

12127648070528 is a wasteful number, since it uses less digits than its factorization.

12127648070528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The spelling of 12127648070528 in words is "twelve trillion, one hundred twenty-seven billion, six hundred forty-eight million, seventy thousand, five hundred twenty-eight".