212500200 has 144 divisors (see below), whose sum is σ = 724328640. Its totient is φ = 51497600.

The previous prime is 212500177. The next prime is 212500217. The reversal of 212500200 is 2005212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71137 + ... + 74063.

It is an arithmetic number, because the mean of its divisors is an integer number (5030060).

Almost surely, 2^212500200 is an apocalyptic number.

212500200 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 212500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362164320).

212500200 is an abundant number, since it is smaller than the sum of its proper divisors (511828440).

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

212500200 is a wasteful number, since it uses less digits than its factorization.

212500200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212500200 is about 14577.3865970550. The cubic root of 212500200 is about 596.7417831767.

Adding to 212500200 its reverse (2005212), we get a palindrome (214505412).

The spelling of 212500200 in words is "two hundred twelve million, five hundred thousand, two hundred".