213012 has 36 divisors (see below), whose sum is σ = 552916. Its totient is φ = 69120.

The previous prime is 212999. The next prime is 213019. The reversal of 213012 is 210312.

It is a happy number.

213012 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 171396 = 204^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×213012² = 90748224288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 212985 and 213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213019) by changing a digit.

213012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2148 + ... + 2244.

2²¹³⁰¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276458).

213012 is an abundant number, since it is smaller than the sum of its proper divisors (339904).

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

213012 is a wasteful number, since it uses less digits than its factorization.

213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213012 is about 461.5322307272. The cubic root of 213012 is about 59.7220476969.

Adding to 213012 its reverse (210312), we get a palindrome (423324).

The spelling of 213012 in words is "two hundred thirteen thousand, twelve".