212320 has 24 divisors (see below), whose sum is σ = 501984. Its totient is φ = 84864.

The previous prime is 212297. The next prime is 212353. The reversal of 212320 is 23212.

212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 212297 and 212306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (20916).

2²¹²³²⁰ is an apocalyptic number.

212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320 is an abundant number, since it is smaller than the sum of its proper divisors (289664).

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

212320 is a wasteful number, since it uses less digits than its factorization.

212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 212320 is about 460.7819440907. The cubic root of 212320 is about 59.6573056622.

Adding to 212320 its reverse (23212), we get a palindrome (235532).

The spelling of 212320 in words is "two hundred twelve thousand, three hundred twenty", and thus it is an iban number.