321300120 has 64 divisors (see below), whose sum is σ = 995005440. Its totient is φ = 82915200.

The previous prime is 321300107. The next prime is 321300121. The reversal of 321300120 is 21003123.

It is a happy number.

It is a super-2 number, since 2×321300120² = 206467534224028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 321300096 and 321300105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39466 + ... + 46905.

It is an arithmetic number, because the mean of its divisors is an integer number (15546960).

Almost surely, 2^321300120 is an apocalyptic number.

321300120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321300120 is an abundant number, since it is smaller than the sum of its proper divisors (673705320).

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

321300120 is a wasteful number, since it uses less digits than its factorization.

321300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86416 (or 86412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 321300120 is about 17924.8464428569. The cubic root of 321300120 is about 684.9154494538.

Adding to 321300120 its reverse (21003123), we get a palindrome (342303243).

The spelling of 321300120 in words is "three hundred twenty-one million, three hundred thousand, one hundred twenty".