212380 has 48 divisors (see below), whose sum is σ = 536256. Its totient is φ = 69120.

The previous prime is 212369. The next prime is 212383. The reversal of 212380 is 83212.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 5200.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2²¹²³⁸⁰ is an apocalyptic number.

212380 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 212380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

212380 is an abundant number, since it is smaller than the sum of its proper divisors (323876).

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

212380 is a wasteful number, since it uses less digits than its factorization.

212380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212380 is about 460.8470462095. The cubic root of 212380 is about 59.6629246983.

Adding to 212380 its reverse (83212), we get a palindrome (295592).

It can be divided in two parts, 21 and 2380, that added together give a 4-th power (2401 = 7⁴).

The spelling of 212380 in words is "two hundred twelve thousand, three hundred eighty".