12321000 has 144 divisors (see below), whose sum is σ = 42800940. Its totient is φ = 3196800.

The previous prime is 12320999. The next prime is 12321011. The reversal of 12321000 is 12321.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4334724 + 7986276 = 2082^2 + 2826^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332982 + ... + 333018.

Almost surely, 2^12321000 is an apocalyptic number.

12321000 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 12321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400470).

12321000 is an abundant number, since it is smaller than the sum of its proper divisors (30479940).

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

12321000 is a wasteful number, since it uses less digits than its factorization.

12321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

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

The square root of 12321000 is about 3510.1282027869. The cubic root of 12321000 is about 230.9663188089.

Adding to 12321000 its reverse (12321), we get a palindrome (12333321).

12321000 divided by its reverse (12321) gives a cube (1000 = 10³).

The spelling of 12321000 in words is "twelve million, three hundred twenty-one thousand".