12340284209208 has 640 divisors, whose sum is σ = 37245631610880. Its totient is φ = 3810240000000.

The previous prime is 12340284209207. The next prime is 12340284209221. The reversal of 12340284209208 is 80290248204321.

12340284209208 is a `hidden beast` number, since 1 + 2 + 340 + 2 + 84 + 20 + 9 + 208 = 666.

It is a super-2 number, since 2×12340284209208² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340284209207) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 16431802833 + ... + 16431803583.

It is an arithmetic number, because the mean of its divisors is an integer number (58196299392).

Almost surely, 2^{12340284209208} is an apocalyptic number.

12340284209208 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 12340284209208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622815805440).

12340284209208 is an abundant number, since it is smaller than the sum of its proper divisors (24905347401672).

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

12340284209208 is a wasteful number, since it uses less digits than its factorization.

12340284209208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12340284209208 in words is "twelve trillion, three hundred forty billion, two hundred eighty-four million, two hundred nine thousand, two hundred eight".