212520 has 128 divisors (see below), whose sum is σ = 829440. Its totient is φ = 42240.

The previous prime is 212507. The next prime is 212557. The reversal of 212520 is 25212.

212520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 461²-1.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 212496 and 212505.

It is an unprimeable number.

212520 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 31 ways as a sum of consecutive naturals, for example, 9229 + ... + 9251.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2²¹²⁵²⁰ is an apocalyptic number.

212520 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 212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

212520 is an abundant number, since it is smaller than the sum of its proper divisors (616920).

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

212520 is a wasteful number, since it uses less digits than its factorization.

212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212520 is about 460.9989154000. The cubic root of 212520 is about 59.6760316681.

Adding to 212520 its reverse (25212), we get a palindrome (237732).

It can be divided in two parts, 2125 and 20, that added together give a triangular number (2145 = T₆₅).

The spelling of 212520 in words is "two hundred twelve thousand, five hundred twenty".