12824482880 has 112 divisors (see below), whose sum is σ = 33358189824. Its totient is φ = 4657336320.

The previous prime is 12824482871. The next prime is 12824482883. The reversal of 12824482880 is 8828442821.

It is a happy number.

It is a super-2 number, since 2×12824482880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12824482883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3352649 + ... + 3356471.

Almost surely, 2^12824482880 is an apocalyptic number.

12824482880 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 12824482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679094912).

12824482880 is an abundant number, since it is smaller than the sum of its proper divisors (20533706944).

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

12824482880 is a wasteful number, since it uses less digits than its factorization.

12824482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 47.

The spelling of 12824482880 in words is "twelve billion, eight hundred twenty-four million, four hundred eighty-two thousand, eight hundred eighty".