213212200 has 48 divisors (see below), whose sum is σ = 497602080. Its totient is φ = 84960960.

The previous prime is 213212179. The next prime is 213212261. The reversal of 213212200 is 2212312.

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 11 ways as a sum of consecutive naturals, for example, 54717 + ... + 58483.

It is an arithmetic number, because the mean of its divisors is an integer number (10366710).

Almost surely, 2^213212200 is an apocalyptic number.

213212200 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 213212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248801040).

213212200 is an abundant number, since it is smaller than the sum of its proper divisors (284389880).

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

213212200 is a wasteful number, since it uses less digits than its factorization.

213212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213212200 is about 14601.7875618022. The cubic root of 213212200 is about 597.4075182342.

Adding to 213212200 its reverse (2212312), we get a palindrome (215424512).

The spelling of 213212200 in words is "two hundred thirteen million, two hundred twelve thousand, two hundred".