12322000 has 80 divisors (see below), whose sum is σ = 30582864. Its totient is φ = 4800000.

The previous prime is 12321989. The next prime is 12322001. The reversal of 12322000 is 22321.

It can be written as a sum of positive squares in 8 ways, for example, as 4096576 + 8225424 = 2024^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121950 + ... + 122050.

Almost surely, 2^12322000 is an apocalyptic number.

12322000 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 12322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291432).

12322000 is an abundant number, since it is smaller than the sum of its proper divisors (18260864).

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

12322000 is a wasteful number, since it uses less digits than its factorization.

12322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12322000 is about 3510.2706448364. The cubic root of 12322000 is about 230.9725672214.

Adding to 12322000 its reverse (22321), we get a palindrome (12344321).

The spelling of 12322000 in words is "twelve million, three hundred twenty-two thousand".