12648801581220 has 384 divisors, whose sum is σ = 41992110720000. Its totient is φ = 2843248128000.

The previous prime is 12648801581203. The next prime is 12648801581249. The reversal of 12648801581220 is 2218510884621.

It is a self number, because there is not a number n which added to its sum of digits gives 12648801581220.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309688000 + ... + 309728840.

It is an arithmetic number, because the mean of its divisors is an integer number (109354455000).

Almost surely, 2^{12648801581220} is an apocalyptic number.

12648801581220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12648801581220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20996055360000).

12648801581220 is an abundant number, since it is smaller than the sum of its proper divisors (29343309138780).

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

12648801581220 is a wasteful number, since it uses less digits than its factorization.

12648801581220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41124 (or 41108 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 12648801581220 in words is "twelve trillion, six hundred forty-eight billion, eight hundred one million, five hundred eighty-one thousand, two hundred twenty".