212120220000 has 720 divisors, whose sum is σ = 796835893392. Its totient is φ = 49090560000.

The previous prime is 212120219999. The next prime is 212120220007. The reversal of 212120220000 is 22021212.

212120220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 225419530 + ... + 225420470.

Almost surely, 2^212120220000 is an apocalyptic number.

212120220000 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 212120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398417946696).

212120220000 is an abundant number, since it is smaller than the sum of its proper divisors (584715673392).

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

212120220000 is a wasteful number, since it uses less digits than its factorization.

212120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212120220000 its reverse (22021212), we get a palindrome (212142241212).

The spelling of 212120220000 in words is "two hundred twelve billion, one hundred twenty million, two hundred twenty thousand".