212040 has 96 divisors (see below), whose sum is σ = 748800. Its totient is φ = 51840.

The previous prime is 212039. The next prime is 212057. The reversal of 212040 is 40212.

212040 is digitally balanced in base 3, 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6825 + ... + 6855.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2²¹²⁰⁴⁰ is an apocalyptic number.

212040 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 212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374400).

212040 is an abundant number, since it is smaller than the sum of its proper divisors (536760).

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

212040 is a wasteful number, since it uses less digits than its factorization.

212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 212040 is about 460.4780125044. The cubic root of 212040 is about 59.6310694875.

Adding to 212040 its reverse (40212), we get a palindrome (252252).

The spelling of 212040 in words is "two hundred twelve thousand, forty", and thus it is an iban number.