12210020323200 has 576 divisors, whose sum is σ = 52721138265120. Its totient is φ = 2626692710400.

The previous prime is 12210020323181. The next prime is 12210020323213. The reversal of 12210020323200 is 232302001221.

12210020323200 is a `hidden beast` number, since 1 + 22 + 100 + 20 + 323 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1645860 + ... + 5208540.

Almost surely, 2^{12210020323200} is an apocalyptic number.

12210020323200 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 12210020323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26360569132560).

12210020323200 is an abundant number, since it is smaller than the sum of its proper divisors (40511117941920).

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

12210020323200 is a wasteful number, since it uses less digits than its factorization.

12210020323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562735 (or 3562715 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12210020323200 its reverse (232302001221), we get a palindrome (12442322324421).

The spelling of 12210020323200 in words is "twelve trillion, two hundred ten billion, twenty million, three hundred twenty-three thousand, two hundred".