12321000000 has 441 divisors, whose sum is σ = 45369673167. Its totient is φ = 3196800000.

The previous prime is 12320999993. The next prime is 12321000007. The reversal of 12321000000 is 12321.

It is a happy number.

The square root of 12321000000 is 111000.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12320999993) and next prime (12321000007).

It can be written as a sum of positive squares in 10 ways, for example, as 12310346304 + 10653696 = 110952^2 + 3264^2 .

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 (12321000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 332999982 + ... + 333000018.

Almost surely, 2^12321000000 is an apocalyptic number.

12321000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12321000000 is the 111000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321000000

12321000000 is an abundant number, since it is smaller than the sum of its proper divisors (33048673167).

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

12321000000 is an frugal number, since it uses more digits than its factorization.

12321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 47 counting only the distinct ones).

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

Adding to 12321000000 its reverse (12321), we get a palindrome (12321012321).

Multiplying 12321000000 by its reverse (12321), we get a square (151807041000000 = 12321000²).

12321000000 divided by its reverse (12321) gives a 6-th power (1000000 = 10⁶).

The spelling of 12321000000 in words is "twelve billion, three hundred twenty-one million", and thus it is an aban number.