212700531200 has 240 divisors, whose sum is σ = 556367797920. Its totient is φ = 80362782720.

The previous prime is 212700531149. The next prime is 212700531283. The reversal of 212700531200 is 2135007212.

It is a happy number.

212700531200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96549299 + ... + 96551501.

It is an arithmetic number, because the mean of its divisors is an integer number (2318199158).

Almost surely, 2^212700531200 is an apocalyptic number.

212700531200 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 212700531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278183898960).

212700531200 is an abundant number, since it is smaller than the sum of its proper divisors (343667266720).

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

212700531200 is a wasteful number, since it uses less digits than its factorization.

212700531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 212700531200 its reverse (2135007212), we get a palindrome (214835538412).

The spelling of 212700531200 in words is "two hundred twelve billion, seven hundred million, five hundred thirty-one thousand, two hundred".