12108215328768 has 448 divisors, whose sum is σ = 38734507768320. Its totient is φ = 3715869966336.

The previous prime is 12108215328749. The next prime is 12108215328919. The reversal of 12108215328768 is 86782351280121.

It is a happy number.

12108215328768 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 8 + 21 + 532 + 87 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141525321 + ... + 1141535927.

It is an arithmetic number, because the mean of its divisors is an integer number (86460954840).

Almost surely, 2^{12108215328768} is an apocalyptic number.

12108215328768 is a gapful number since it is divisible by the number (18) 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 12108215328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19367253884160).

12108215328768 is an abundant number, since it is smaller than the sum of its proper divisors (26626292439552).

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

12108215328768 is a wasteful number, since it uses less digits than its factorization.

12108215328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12108215328768 in words is "twelve trillion, one hundred eight billion, two hundred fifteen million, three hundred twenty-eight thousand, seven hundred sixty-eight".