212120 has 16 divisors (see below), whose sum is σ = 477360. Its totient is φ = 84832.

The previous prime is 212117. The next prime is 212123. The reversal of 212120 is 21212.

212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212117) and next prime (212123).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 212098 and 212107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2612 + ... + 2691.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2²¹²¹²⁰ is an apocalyptic number.

212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120 is an abundant number, since it is smaller than the sum of its proper divisors (265240).

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

212120 is a wasteful number, since it uses less digits than its factorization.

212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 212120 is about 460.5648705666. The cubic root of 212120 is about 59.6385678930.

Adding to 212120 its reverse (21212), we get a palindrome (233332).

The spelling of 212120 in words is "two hundred twelve thousand, one hundred twenty", and thus it is an iban number.