321141312 has 42 divisors (see below), whose sum is σ = 920495238. Its totient is φ = 107046912.

The previous prime is 321141311. The next prime is 321141313. The reversal of 321141312 is 213141123.

It is an interprime number because it is at equal distance from previous prime (321141311) and next prime (321141313).

It can be written as a sum of positive squares in only one way, i.e., 210134016 + 111007296 = 14496^2 + 10536^2 .

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 not an unprimeable number, because it can be changed into a prime (321141311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278193 + ... + 279344.

Almost surely, 2^321141312 is an apocalyptic number.

321141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321141312 is an abundant number, since it is smaller than the sum of its proper divisors (599353926).

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

321141312 is a wasteful number, since it uses less digits than its factorization.

321141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557555 (or 557542 counting only the distinct ones).

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

The square root of 321141312 is about 17920.4160665985. The cubic root of 321141312 is about 684.8025871885.

Adding to 321141312 its reverse (213141123), we get a palindrome (534282435).

The spelling of 321141312 in words is "three hundred twenty-one million, one hundred forty-one thousand, three hundred twelve".