12482878320 has 960 divisors, whose sum is σ = 52646630400. Its totient is φ = 2611445760.

The previous prime is 12482878313. The next prime is 12482878321. The reversal of 12482878320 is 2387828421.

12482878320 is a `hidden beast` number, since 1 + 2 + 48 + 287 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12482878321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89804811 + ... + 89804949.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^12482878320 is an apocalyptic number.

12482878320 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 12482878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323315200).

12482878320 is an abundant number, since it is smaller than the sum of its proper divisors (40163752080).

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

12482878320 is a wasteful number, since it uses less digits than its factorization.

12482878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12482878320 in words is "twelve billion, four hundred eighty-two million, eight hundred seventy-eight thousand, three hundred twenty".