12108284559360 has 936 divisors, whose sum is σ = 47550119096376. Its totient is φ = 2935341711360.

The previous prime is 12108284559331. The next prime is 12108284559383. The reversal of 12108284559360 is 6395548280121.

12108284559360 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 8 + 2 + 8 + 45 + 593 + 6 + 0 = 666.

It is a super-2 number, since 2×12108284559360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12108284559297 and 12108284559306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1100753141755 + ... + 1100753141765.

It is an arithmetic number, because the mean of its divisors is an integer number (50801409291).

Almost surely, 2^{12108284559360} is an apocalyptic number.

12108284559360 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 12108284559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775059548188).

12108284559360 is an abundant number, since it is smaller than the sum of its proper divisors (35441834537016).

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

12108284559360 is an frugal number, since it uses more digits than its factorization.

12108284559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12108284559360 in words is "twelve trillion, one hundred eight billion, two hundred eighty-four million, five hundred fifty-nine thousand, three hundred sixty".