321132420 has 144 divisors (see below), whose sum is σ = 1118452608. Its totient is φ = 73059840.

The previous prime is 321132401. The next prime is 321132443. The reversal of 321132420 is 24231123.

321132420 is a `hidden beast` number, since 3 + 211 + 32 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 321132393 and 321132402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353607 + ... + 354513.

It is an arithmetic number, because the mean of its divisors is an integer number (7767032).

Almost surely, 2^321132420 is an apocalyptic number.

321132420 is a gapful number since it is divisible by the number (30) 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 321132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559226304).

321132420 is an abundant number, since it is smaller than the sum of its proper divisors (797320188).

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

321132420 is a wasteful number, since it uses less digits than its factorization.

321132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

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

The square root of 321132420 is about 17920.1679679628. The cubic root of 321132420 is about 684.7962666887.

Adding to 321132420 its reverse (24231123), we get a palindrome (345363543).

The spelling of 321132420 in words is "three hundred twenty-one million, one hundred thirty-two thousand, four hundred twenty".