212920200 has 288 divisors, whose sum is σ = 771825600. Its totient is φ = 52462080.

The previous prime is 212920193. The next prime is 212920207. The reversal of 212920200 is 2029212.

It is an interprime number because it is at equal distance from previous prime (212920193) and next prime (212920207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212920207) 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 71 ways as a sum of consecutive naturals, for example, 1531731 + ... + 1531869.

It is an arithmetic number, because the mean of its divisors is an integer number (2679950).

Almost surely, 2^212920200 is an apocalyptic number.

212920200 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 212920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

212920200 is an abundant number, since it is smaller than the sum of its proper divisors (558905400).

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

212920200 is a wasteful number, since it uses less digits than its factorization.

212920200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 212920200 is about 14591.7853602635. The cubic root of 212920200 is about 597.1346716041.

Adding to 212920200 its reverse (2029212), we get a palindrome (214949412).

The spelling of 212920200 in words is "two hundred twelve million, nine hundred twenty thousand, two hundred".