210212200 has 192 divisors, whose sum is σ = 578534400. Its totient is φ = 70214400.

The previous prime is 210212159. The next prime is 210212201. The reversal of 210212200 is 2212012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210212201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1964547 + ... + 1964653.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^210212200 is an apocalyptic number.

210212200 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 210212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

210212200 is an abundant number, since it is smaller than the sum of its proper divisors (368322200).

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

210212200 is a wasteful number, since it uses less digits than its factorization.

210212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 210212200 is about 14498.6964931334. The cubic root of 210212200 is about 594.5923342666.

Adding to 210212200 its reverse (2212012), we get a palindrome (212424212).

The spelling of 210212200 in words is "two hundred ten million, two hundred twelve thousand, two hundred".