120321000 has 192 divisors, whose sum is σ = 421621200. Its totient is φ = 30912000.

The previous prime is 120320999. The next prime is 120321007. The reversal of 120321000 is 123021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1205604 + 119115396 = 1098^2 + 10914^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260770 + ... + 261230.

Almost surely, 2^120321000 is an apocalyptic number.

120321000 is a gapful number since it is divisible by the number (10) 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 120321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210810600).

120321000 is an abundant number, since it is smaller than the sum of its proper divisors (301300200).

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

120321000 is a wasteful number, since it uses less digits than its factorization.

120321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 500 counting only the distinct ones).

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

The square root of 120321000 is about 10969.0929433568. The cubic root of 120321000 is about 493.6818311058.

Adding to 120321000 its reverse (123021), we get a palindrome (120444021).

The spelling of 120321000 in words is "one hundred twenty million, three hundred twenty-one thousand".