212120210000 has 200 divisors, whose sum is σ = 536057687880. Its totient is φ = 81184768000.

The previous prime is 212120209997. The next prime is 212120210009. The reversal of 212120210000 is 12021212.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 183488862736 + 28631347264 = 428356^2 + 169208^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32766764 + ... + 32773236.

Almost surely, 2^212120210000 is an apocalyptic number.

212120210000 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 212120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268028843940).

212120210000 is an abundant number, since it is smaller than the sum of its proper divisors (323937477880).

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

212120210000 is a wasteful number, since it uses less digits than its factorization.

212120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212120210000 its reverse (12021212), we get a palindrome (212132231212).

The spelling of 212120210000 in words is "two hundred twelve billion, one hundred twenty million, two hundred ten thousand".