12326643000 has 768 divisors, whose sum is σ = 51023831040. Its totient is φ = 2623104000.

The previous prime is 12326642969. The next prime is 12326643029. The reversal of 12326643000 is 34662321.

12326643000 is a `hidden beast` number, since 12 + 3 + 2 + 6 + 643 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12326643000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68102910 + ... + 68103090.

It is an arithmetic number, because the mean of its divisors is an integer number (66437280).

Almost surely, 2^12326643000 is an apocalyptic number.

12326643000 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 12326643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25511915520).

12326643000 is an abundant number, since it is smaller than the sum of its proper divisors (38697188040).

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

12326643000 is a wasteful number, since it uses less digits than its factorization.

12326643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 12326643000 in words is "twelve billion, three hundred twenty-six million, six hundred forty-three thousand".