324141120 has 168 divisors, whose sum is σ = 1153652760. Its totient is φ = 83435520.

The previous prime is 324141071. The next prime is 324141133. The reversal of 324141120 is 21141423.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 275029056 = 7008^2 + 16584^2 .

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 = 324141093 and 324141102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81580 + ... + 85460.

Almost surely, 2^324141120 is an apocalyptic number.

324141120 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 324141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576826380).

324141120 is an abundant number, since it is smaller than the sum of its proper divisors (829511640).

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

324141120 is a wasteful number, since it uses less digits than its factorization.

324141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 324141120 is about 18003.9195732485. The cubic root of 324141120 is about 686.9282483876.

Adding to 324141120 its reverse (21141423), we get a palindrome (345282543).

The spelling of 324141120 in words is "three hundred twenty-four million, one hundred forty-one thousand, one hundred twenty".