320032212 has 48 divisors (see below), whose sum is σ = 795820032. Its totient is φ = 99864160.

The previous prime is 320032211. The next prime is 320032217. The reversal of 320032212 is 212230023.

It is a super-3 number, since 3×320032212³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 320032191 and 320032200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320032211) 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, 637 + ... + 25307.

It is an arithmetic number, because the mean of its divisors is an integer number (16579584).

Almost surely, 2^320032212 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 320032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397910016).

320032212 is an abundant number, since it is smaller than the sum of its proper divisors (475787820).

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

320032212 is a wasteful number, since it uses less digits than its factorization.

320032212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24748 (or 24746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 320032212 is about 17889.4441501127. Note that the first 3 decimals coincide. The cubic root of 320032212 is about 684.0133286278.

Adding to 320032212 its reverse (212230023), we get a palindrome (532262235).

The spelling of 320032212 in words is "three hundred twenty million, thirty-two thousand, two hundred twelve".