212005200 has 120 divisors (see below), whose sum is σ = 740907936. Its totient is φ = 51392000.

The previous prime is 212005193. The next prime is 212005217. The reversal of 212005200 is 2500212.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5170 + ... + 21230.

Almost surely, 2^212005200 is an apocalyptic number.

212005200 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 212005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370453968).

212005200 is an abundant number, since it is smaller than the sum of its proper divisors (528902736).

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

212005200 is a wasteful number, since it uses less digits than its factorization.

212005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16093 (or 16082 counting only the distinct ones).

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

The square root of 212005200 is about 14560.3983461992. The cubic root of 212005200 is about 596.2780709242.

Adding to 212005200 its reverse (2500212), we get a palindrome (214505412).

The spelling of 212005200 in words is "two hundred twelve million, five thousand, two hundred".