322113312 has 144 divisors (see below), whose sum is σ = 957116160. Its totient is φ = 102643200.

The previous prime is 322113307. The next prime is 322113317. The reversal of 322113312 is 213311223.

322113312 is a `hidden beast` number, since 322 + 11 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (322113307) and next prime (322113317).

It is a tau number, because it is divible by the number of its divisors (144).

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.

It is not an unprimeable number, because it can be changed into a prime (322113317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972987 + ... + 973317.

It is an arithmetic number, because the mean of its divisors is an integer number (6646640).

Almost surely, 2^322113312 is an apocalyptic number.

322113312 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 322113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478558080).

322113312 is an abundant number, since it is smaller than the sum of its proper divisors (635002848).

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

322113312 is a wasteful number, since it uses less digits than its factorization.

322113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 476 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 322113312 is about 17947.5154826511. The cubic root of 322113312 is about 685.4927897707.

Adding to 322113312 its reverse (213311223), we get a palindrome (535424535).

The spelling of 322113312 in words is "three hundred twenty-two million, one hundred thirteen thousand, three hundred twelve".