212080 has 40 divisors (see below), whose sum is σ = 540144. Its totient is φ = 76800.

The previous prime is 212057. The next prime is 212081. The reversal of 212080 is 80212.

212080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 212080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760 + ... + 1000.

2²¹²⁰⁸⁰ is an apocalyptic number.

212080 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 212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270072).

212080 is an abundant number, since it is smaller than the sum of its proper divisors (328064).

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

212080 is a wasteful number, since it uses less digits than its factorization.

212080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

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

The square root of 212080 is about 460.5214435832. The cubic root of 212080 is about 59.6348189260.

Adding to 212080 its reverse (80212), we get a palindrome (292292).

The spelling of 212080 in words is "two hundred twelve thousand, eighty".