12418060197312 has 2688 divisors, whose sum is σ = 50527061760000. Its totient is φ = 2953168035840.

The previous prime is 12418060197307. The next prime is 12418060197337. The reversal of 12418060197312 is 21379106081421.

12418060197312 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 8 + 0 + 601 + 9 + 7 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83342685814 + ... + 83342685962.

It is an arithmetic number, because the mean of its divisors is an integer number (18797270000).

Almost surely, 2^{12418060197312} is an apocalyptic number.

12418060197312 is a gapful number since it is divisible by the number (12) 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 12418060197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25263530880000).

12418060197312 is an abundant number, since it is smaller than the sum of its proper divisors (38109001562688).

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

12418060197312 is a wasteful number, since it uses less digits than its factorization.

12418060197312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12418060197312 in words is "twelve trillion, four hundred eighteen billion, sixty million, one hundred ninety-seven thousand, three hundred twelve".