212202222320000 has 640 divisors, whose sum is σ = 585303862809600. Its totient is φ = 75963064320000.

The previous prime is 212202222319981. The next prime is 212202222320021. The reversal of 212202222320000 is 23222202212.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 24540555677 + ... + 24540564323.

It is an arithmetic number, because the mean of its divisors is an integer number (914537285640).

Almost surely, 2^{212202222320000} is an apocalyptic number.

212202222320000 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 212202222320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292651931404800).

212202222320000 is an abundant number, since it is smaller than the sum of its proper divisors (373101640489600).

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

212202222320000 is an equidigital number, since it uses as much as digits as its factorization.

212202222320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212202222320000 its reverse (23222202212), we get a palindrome (212225444522212).

The spelling of 212202222320000 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty-two million, three hundred twenty thousand".