12322032000 has 512 divisors, whose sum is σ = 43917120000. Its totient is φ = 3046809600.

The previous prime is 12322031999. The next prime is 12322032001. The reversal of 12322032000 is 23022321.

It is an interprime number because it is at equal distance from previous prime (12322031999) and next prime (12322032001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322032001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53807886 + ... + 53808114.

It is an arithmetic number, because the mean of its divisors is an integer number (85775625).

Almost surely, 2^12322032000 is an apocalyptic number.

12322032000 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 12322032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958560000).

12322032000 is an abundant number, since it is smaller than the sum of its proper divisors (31595088000).

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

12322032000 is a wasteful number, since it uses less digits than its factorization.

12322032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12322032000 its reverse (23022321), we get a palindrome (12345054321).

The spelling of 12322032000 in words is "twelve billion, three hundred twenty-two million, thirty-two thousand".