12448809120 has 576 divisors, whose sum is σ = 47056464000. Its totient is φ = 2753372160.

The previous prime is 12448809071. The next prime is 12448809167. The reversal of 12448809120 is 2190884421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32001886 + ... + 32002274.

It is an arithmetic number, because the mean of its divisors is an integer number (81695250).

Almost surely, 2^12448809120 is an apocalyptic number.

12448809120 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 12448809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232000).

12448809120 is an abundant number, since it is smaller than the sum of its proper divisors (34607654880).

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

12448809120 is a wasteful number, since it uses less digits than its factorization.

12448809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 12448809120 in words is "twelve billion, four hundred forty-eight million, eight hundred nine thousand, one hundred twenty".