12322011321000 has 192 divisors, whose sum is σ = 42774031806480. Its totient is φ = 3197062310400.

The previous prime is 12322011320947. The next prime is 12322011321007. The reversal of 12322011321000 is 12311022321.

12322011321000 is a `hidden beast` number, since 1 + 232 + 201 + 132 + 100 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5671894717476 + 6650116603524 = 2381574^2 + 2578782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12322011321007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18168519 + ... + 18834518.

Almost surely, 2^{12322011321000} is an apocalyptic number.

12322011321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322011321000 is an abundant number, since it is smaller than the sum of its proper divisors (30452020485480).

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

12322011321000 is a wasteful number, since it uses less digits than its factorization.

12322011321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37003101 (or 37003084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12322011321000 its reverse (12311022321), we get a palindrome (12334322343321).

The spelling of 12322011321000 in words is "twelve trillion, three hundred twenty-two billion, eleven million, three hundred twenty-one thousand".