13122120448 has 288 divisors, whose sum is σ = 30422568960. Its totient is φ = 5620285440.

The previous prime is 13122120433. The next prime is 13122120457. The reversal of 13122120448 is 84402122131.

It is a super-3 number, since 3×13122120448³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195852511 + ... + 195852577.

It is an arithmetic number, because the mean of its divisors is an integer number (105633920).

Almost surely, 2^13122120448 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 13122120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211284480).

13122120448 is an abundant number, since it is smaller than the sum of its proper divisors (17300448512).

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

13122120448 is a wasteful number, since it uses less digits than its factorization.

13122120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 13122120448 its reverse (84402122131), we get a palindrome (97524242579).

The spelling of 13122120448 in words is "thirteen billion, one hundred twenty-two million, one hundred twenty thousand, four hundred forty-eight".