212141200 has 30 divisors (see below), whose sum is σ = 509670194. Its totient is φ = 84856320.

The previous prime is 212141191. The next prime is 212141203. The reversal of 212141200 is 2141212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37161216 + 174979984 = 6096^2 + 13228^2 .

It is not an unprimeable number, because it can be changed into a prime (212141203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264777 + ... + 265576.

Almost surely, 2^212141200 is an apocalyptic number.

212141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212141200 is an abundant number, since it is smaller than the sum of its proper divisors (297528994).

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

212141200 is a wasteful number, since it uses less digits than its factorization.

212141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530371 (or 530360 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212141200 is about 14565.0677993616. The cubic root of 212141200 is about 596.4055465449.

Adding to 212141200 its reverse (2141212), we get a palindrome (214282412).

The spelling of 212141200 in words is "two hundred twelve million, one hundred forty-one thousand, two hundred".