12448205280 has 384 divisors, whose sum is σ = 50483865600. Its totient is φ = 2805829632.

The previous prime is 12448205249. The next prime is 12448205293. The reversal of 12448205280 is 8250284421.

12448205280 is a `hidden beast` number, since 1 + 2 + 448 + 205 + 2 + 8 + 0 = 666.

12448205280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2204701 + ... + 2210339.

It is an arithmetic number, because the mean of its divisors is an integer number (131468400).

Almost surely, 2^12448205280 is an apocalyptic number.

12448205280 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 12448205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25241932800).

12448205280 is an abundant number, since it is smaller than the sum of its proper divisors (38035660320).

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

12448205280 is a wasteful number, since it uses less digits than its factorization.

12448205280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12448205280 in words is "twelve billion, four hundred forty-eight million, two hundred five thousand, two hundred eighty".