12001300132224 has 128 divisors (see below), whose sum is σ = 34337218416480. Its totient is φ = 3692000378880.

The previous prime is 12001300132193. The next prime is 12001300132231. The reversal of 12001300132224 is 42223100310021.

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 12001300132224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26135134 + ... + 26590370.

Almost surely, 2^{12001300132224} 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 12001300132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168609208240).

12001300132224 is an abundant number, since it is smaller than the sum of its proper divisors (22335918284256).

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

12001300132224 is a wasteful number, since it uses less digits than its factorization.

12001300132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460548 (or 460536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12001300132224 its reverse (42223100310021), we get a palindrome (54224400442245).

The spelling of 12001300132224 in words is "twelve trillion, one billion, three hundred million, one hundred thirty-two thousand, two hundred twenty-four".