12022466227200 has 3168 divisors, whose sum is σ = 53218593792000. Its totient is φ = 2553348096000.

The previous prime is 12022466227199. The next prime is 12022466227241. The reversal of 12022466227200 is 272266422021.

12022466227200 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 4 + 6 + 622 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 80687692726 + ... + 80687692874.

Almost surely, 2^{12022466227200} is an apocalyptic number.

12022466227200 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 12022466227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26609296896000).

12022466227200 is an abundant number, since it is smaller than the sum of its proper divisors (41196127564800).

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

12022466227200 is a wasteful number, since it uses less digits than its factorization.

12022466227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12022466227200 in words is "twelve trillion, twenty-two billion, four hundred sixty-six million, two hundred twenty-seven thousand, two hundred".