3211221312 has 168 divisors, whose sum is σ = 10434584160. Its totient is φ = 936023040.

The previous prime is 3211221287. The next prime is 3211221317. The reversal of 3211221312 is 2131221123.

3211221312 is a `hidden beast` number, since 321 + 12 + 21 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3211221317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130987 + ... + 153557.

It is an arithmetic number, because the mean of its divisors is an integer number (62110620).

Almost surely, 2^3211221312 is an apocalyptic number.

3211221312 is a gapful number since it is divisible by the number (32) 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 3211221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217292080).

3211221312 is an abundant number, since it is smaller than the sum of its proper divisors (7223362848).

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

3211221312 is a wasteful number, since it uses less digits than its factorization.

3211221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22621 (or 22608 counting only the distinct ones).

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

The square root of 3211221312 is about 56667.6390191086. The cubic root of 3211221312 is about 1475.3330760977. Note that the first 3 decimals are identical.

Adding to 3211221312 its reverse (2131221123), we get a palindrome (5342442435).

The spelling of 3211221312 in words is "three billion, two hundred eleven million, two hundred twenty-one thousand, three hundred twelve".