120321 has 12 divisors (see below), whose sum is σ = 180180. Its totient is φ = 77280.

The previous prime is 120319. The next prime is 120331. The reversal of 120321 is 123021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50625 + 69696 = 225^2 + 264^2 .

It is not a de Polignac number, because 120321 - 2¹ = 120319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120321.

It is not an unprimeable number, because it can be changed into a prime (120331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

It is a Proth number, since it is equal to 235 ⋅ 2⁹ + 1 and 235 < 2⁹.

2¹²⁰³²¹ is an apocalyptic number.

It is an amenable number.

120321 is a deficient number, since it is larger than the sum of its proper divisors (59859).

120321 is a wasteful number, since it uses less digits than its factorization.

120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120321 is about 346.8731756709. The cubic root of 120321 is about 49.3681831106.

Adding to 120321 its reverse (123021), we get a palindrome (243342).

It can be divided in two parts, 120 and 321, that added together give a square (441 = 21²).

The spelling of 120321 in words is "one hundred twenty thousand, three hundred twenty-one", and thus it is an iban number.