212133200 has 30 divisors (see below), whose sum is σ = 509650974. Its totient is φ = 84853120.

The previous prime is 212133199. The next prime is 212133239. The reversal of 212133200 is 2331212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 212110096 = 152^2 + 14564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264767 + ... + 265566.

Almost surely, 2^212133200 is an apocalyptic number.

212133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133200 is an abundant number, since it is smaller than the sum of its proper divisors (297517774).

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

212133200 is a wasteful number, since it uses less digits than its factorization.

212133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530351 (or 530340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212133200 is about 14564.7931670862. The cubic root of 212133200 is about 596.3980494874.

Adding to 212133200 its reverse (2331212), we get a palindrome (214464412).

The spelling of 212133200 in words is "two hundred twelve million, one hundred thirty-three thousand, two hundred".