212613210 has 108 divisors (see below), whose sum is σ = 583519482. Its totient is φ = 53708928.

The previous prime is 212613209. The next prime is 212613217. The reversal of 212613210 is 12316212.

It can be written as a sum of positive squares in 9 ways, for example, as 62869041 + 149744169 = 7929^2 + 12237^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212613217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4011544 + ... + 4011596.

Almost surely, 2^212613210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212613210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291759741).

212613210 is an abundant number, since it is smaller than the sum of its proper divisors (370906272).

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

212613210 is a wasteful number, since it uses less digits than its factorization.

212613210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 212613210 is about 14581.2622910364. The cubic root of 212613210 is about 596.8475490971.

Adding to 212613210 its reverse (12316212), we get a palindrome (224929422).

The spelling of 212613210 in words is "two hundred twelve million, six hundred thirteen thousand, two hundred ten".