12482211717360 has 2880 divisors, whose sum is σ = 61005353264640. Its totient is φ = 2311330775040.

The previous prime is 12482211717203. The next prime is 12482211717407. The reversal of 12482211717360 is 6371711228421.

It is a happy number.

12482211717360 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 2 + 211 + 71 + 7 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7144940007 + ... + 7144941753.

It is an arithmetic number, because the mean of its divisors is an integer number (21182414328).

Almost surely, 2^{12482211717360} is an apocalyptic number.

12482211717360 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 12482211717360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30502676632320).

12482211717360 is an abundant number, since it is smaller than the sum of its proper divisors (48523141547280).

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

12482211717360 is a wasteful number, since it uses less digits than its factorization.

12482211717360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12482211717360 in words is "twelve trillion, four hundred eighty-two billion, two hundred eleven million, seven hundred seventeen thousand, three hundred sixty".