212000200 has 96 divisors (see below), whose sum is σ = 544786560. Its totient is φ = 76313600.

The previous prime is 212000189. The next prime is 212000203. The reversal of 212000200 is 2000212.

It is a happy number.

212000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76845 + ... + 79555.

It is an arithmetic number, because the mean of its divisors is an integer number (5674860).

Almost surely, 2^212000200 is an apocalyptic number.

212000200 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 212000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272393280).

212000200 is an abundant number, since it is smaller than the sum of its proper divisors (332786360).

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

212000200 is a wasteful number, since it uses less digits than its factorization.

212000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 212000200 is about 14560.2266465876. The cubic root of 212000200 is about 596.2733832816.

Adding to 212000200 its reverse (2000212), we get a palindrome (214000412).

The spelling of 212000200 in words is "two hundred twelve million, two hundred", and thus it is an aban number.