212160 has 112 divisors (see below), whose sum is σ = 768096. Its totient is φ = 49152.

The previous prime is 212141. The next prime is 212161. The reversal of 212160 is 61212.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (212161) by changing a digit.

212160 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 15 ways as a sum of consecutive naturals, for example, 12472 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (6858).

2²¹²¹⁶⁰ is an apocalyptic number.

212160 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 212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

212160 is an abundant number, since it is smaller than the sum of its proper divisors (555936).

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

212160 is a wasteful number, since it uses less digits than its factorization.

212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212160 is about 460.6082934555. The cubic root of 212160 is about 59.6423163888.

Adding to 212160 its reverse (61212), we get a palindrome (273372).

It can be divided in two parts, 2121 and 60, that multiplied together give a triangular number (127260 = T₅₀₄).

The spelling of 212160 in words is "two hundred twelve thousand, one hundred sixty".