212201322300000 has 864 divisors, whose sum is σ = 824031047575008. Its totient is φ = 51367680000000.

The previous prime is 212201322299987. The next prime is 212201322300007. The reversal of 212201322300000 is 3223102212.

212201322300000 is a `hidden beast` number, since 21 + 2 + 20 + 1 + 322 + 300 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201322300007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6939884712 + ... + 6939915288.

It is an arithmetic number, because the mean of its divisors is an integer number (953739638397).

Almost surely, 2^{212201322300000} is an apocalyptic number.

212201322300000 is a gapful number since it is divisible by the number (20) 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 212201322300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412015523787504).

212201322300000 is an abundant number, since it is smaller than the sum of its proper divisors (611829725275008).

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

212201322300000 is a wasteful number, since it uses less digits than its factorization.

212201322300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31330 (or 31299 counting only the distinct ones).

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

Adding to 212201322300000 its reverse (3223102212), we get a palindrome (212204545402212).

The spelling of 212201322300000 in words is "two hundred twelve trillion, two hundred one billion, three hundred twenty-two million, three hundred thousand".