13220241124224 has 128 divisors (see below), whose sum is σ = 36263385722880. Its totient is φ = 4262907156480.

The previous prime is 13220241124171. The next prime is 13220241124243. The reversal of 13220241124224 is 42242114202231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13220241124191 and 13220241124200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30053514 + ... + 30490230.

It is an arithmetic number, because the mean of its divisors is an integer number (283307700960).

Almost surely, 2^{13220241124224} 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 13220241124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131692861440).

13220241124224 is an abundant number, since it is smaller than the sum of its proper divisors (23043144598656).

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

13220241124224 is a wasteful number, since it uses less digits than its factorization.

13220241124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439308 (or 439296 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 13220241124224 its reverse (42242114202231), we get a palindrome (55462355326455).

The spelling of 13220241124224 in words is "thirteen trillion, two hundred twenty billion, two hundred forty-one million, one hundred twenty-four thousand, two hundred twenty-four".