324213120 has 768 divisors, whose sum is σ = 1512276480. Its totient is φ = 61931520.

The previous prime is 324213107. The next prime is 324213133. The reversal of 324213120 is 21312423.

It is an interprime number because it is at equal distance from previous prime (324213107) and next prime (324213133).

It is a super-2 number, since 2×324213120² = 210228294360268800, which contains 22 as substring.

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 = 324213093 and 324213102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7539819 + ... + 7539861.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^324213120 is an apocalyptic number.

324213120 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 324213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756138240).

324213120 is an abundant number, since it is smaller than the sum of its proper divisors (1188063360).

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

324213120 is a wasteful number, since it uses less digits than its factorization.

324213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

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

The square root of 324213120 is about 18005.9190268089. The cubic root of 324213120 is about 686.9791060432.

Adding to 324213120 its reverse (21312423), we get a palindrome (345525543).

It can be divided in two parts, 324 and 213120, that added together give a square (213444 = 462²).

The spelling of 324213120 in words is "three hundred twenty-four million, two hundred thirteen thousand, one hundred twenty".