212180 has 18 divisors (see below), whose sum is σ = 449946. Its totient is φ = 84048.

The previous prime is 212167. The next prime is 212183. The reversal of 212180 is 81212.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 42436 = 412^2 + 206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212183) by changing a digit.

212180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2009 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (24997).

2²¹²¹⁸⁰ is an apocalyptic number.

212180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212180 is an abundant number, since it is smaller than the sum of its proper divisors (237766).

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

212180 is a wasteful number, since it uses less digits than its factorization.

212180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 212180 is about 460.6300033650. The cubic root of 212180 is about 59.6441904600.

Adding to 212180 its product of nonzero digits (32), we get a palindrome (212212).

Adding to 212180 its reverse (81212), we get a palindrome (293392).

The spelling of 212180 in words is "two hundred twelve thousand, one hundred eighty".