12484120320 has 864 divisors, whose sum is σ = 52895711232. Its totient is φ = 2656862208.

The previous prime is 12484120301. The next prime is 12484120321. The reversal of 12484120320 is 2302148421.

12484120320 is a `hidden beast` number, since 1 + 248 + 412 + 0 + 3 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12484120321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 98300097 + ... + 98300223.

It is an arithmetic number, because the mean of its divisors is an integer number (61221888).

Almost surely, 2^12484120320 is an apocalyptic number.

12484120320 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 12484120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447855616).

12484120320 is an abundant number, since it is smaller than the sum of its proper divisors (40411590912).

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

12484120320 is a wasteful number, since it uses less digits than its factorization.

12484120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12484120320 its reverse (2302148421), we get a palindrome (14786268741).

It can be divided in two parts, 124841 and 20320, that added together give a square (145161 = 381²).

The spelling of 12484120320 in words is "twelve billion, four hundred eighty-four million, one hundred twenty thousand, three hundred twenty".