321132042 has 96 divisors (see below), whose sum is σ = 872202240. Its totient is φ = 82956960.

The previous prime is 321132013. The next prime is 321132047. The reversal of 321132042 is 240231123.

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

It is not an unprimeable number, because it can be changed into a prime (321132047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308559 + ... + 309597.

It is an arithmetic number, because the mean of its divisors is an integer number (9085440).

Almost surely, 2^321132042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436101120).

321132042 is an abundant number, since it is smaller than the sum of its proper divisors (551070198).

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

321132042 is a wasteful number, since it uses less digits than its factorization.

321132042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 321132042 is about 17920.1574211836. The cubic root of 321132042 is about 684.7959980009.

Adding to 321132042 its reverse (240231123), we get a palindrome (561363165).

It can be divided in two parts, 3211 and 32042, that added together give a palindrome (35253).

The spelling of 321132042 in words is "three hundred twenty-one million, one hundred thirty-two thousand, forty-two".