12221812916208 has 180 divisors, whose sum is σ = 39792601737720. Its totient is φ = 3491581701888.

The previous prime is 12221812916207. The next prime is 12221812916321. The reversal of 12221812916208 is 80261921812221.

12221812916208 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 8 + 12 + 9 + 1 + 620 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221812916207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71455366 + ... + 71626202.

It is an arithmetic number, because the mean of its divisors is an integer number (221070009654).

Almost surely, 2^{12221812916208} is an apocalyptic number.

12221812916208 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 12221812916208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896300868860).

12221812916208 is an abundant number, since it is smaller than the sum of its proper divisors (27570788821512).

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

12221812916208 is a wasteful number, since it uses less digits than its factorization.

12221812916208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181004 (or 180988 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12221812916208 in words is "twelve trillion, two hundred twenty-one billion, eight hundred twelve million, nine hundred sixteen thousand, two hundred eight".