210321312 has 96 divisors (see below), whose sum is σ = 570447360. Its totient is φ = 67818240.

The previous prime is 210321281. The next prime is 210321313. The reversal of 210321312 is 213123012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 210321291 and 210321300.

It is not an unprimeable number, because it can be changed into a prime (210321313) 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 15 ways as a sum of consecutive naturals, for example, 401883 + ... + 402405.

It is an arithmetic number, because the mean of its divisors is an integer number (5942160).

Almost surely, 2^210321312 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 210321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285223680).

210321312 is an abundant number, since it is smaller than the sum of its proper divisors (360126048).

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

210321312 is a wasteful number, since it uses less digits than its factorization.

210321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 210321312 is about 14502.4588260060. The cubic root of 210321312 is about 594.6951921360.

Adding to 210321312 its reverse (213123012), we get a palindrome (423444324).

The spelling of 210321312 in words is "two hundred ten million, three hundred twenty-one thousand, three hundred twelve".