12128481245328 has 320 divisors, whose sum is σ = 37643634081792. Its totient is φ = 3289955074560.

The previous prime is 12128481245317. The next prime is 12128481245329. The reversal of 12128481245328 is 82354218482121.

It is not an unprimeable number, because it can be changed into a prime (12128481245329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683401351 + ... + 683419097.

Almost surely, 2^{12128481245328} 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 12128481245328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821817040896).

12128481245328 is an abundant number, since it is smaller than the sum of its proper divisors (25515152836464).

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

12128481245328 is a wasteful number, since it uses less digits than its factorization.

12128481245328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18442 (or 18436 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 12128481245328 in words is "twelve trillion, one hundred twenty-eight billion, four hundred eighty-one million, two hundred forty-five thousand, three hundred twenty-eight".