210012 has 48 divisors (see below), whose sum is σ = 561792. Its totient is φ = 60480.

The previous prime is 210011. The next prime is 210019.

It is a happy number.

210012 is nontrivially palindromic in base 10.

210012 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 (6).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (11704).

2²¹⁰⁰¹² is an apocalyptic number.

210012 is a gapful number since it is divisible by the number (22) 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 210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280896).

210012 is an abundant number, since it is smaller than the sum of its proper divisors (351780).

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

210012 is a wasteful number, since it uses less digits than its factorization.

210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 210012 is about 458.2706623820. The cubic root of 210012 is about 59.4403516817.

It can be divided in two parts, 2100 and 12, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 210012 in words is "two hundred ten thousand, twelve", and thus it is an iban number.