12332122002000 has 120 divisors (see below), whose sum is σ = 43071991508520. Its totient is φ = 3288565862400.

The previous prime is 12332122001977. The next prime is 12332122002001. The reversal of 12332122002000 is 20022123321.

12332122002000 is a `hidden beast` number, since 1 + 233 + 212 + 20 + 0 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111056895504 + 12221065106496 = 333252^2 + 3495864^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332122002001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 342540945 + ... + 342576944.

It is an arithmetic number, because the mean of its divisors is an integer number (358933262571).

Almost surely, 2^{12332122002000} is an apocalyptic number.

12332122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332122002000 is an abundant number, since it is smaller than the sum of its proper divisors (30739869506520).

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

12332122002000 is a wasteful number, since it uses less digits than its factorization.

12332122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685117918 (or 685117899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12332122002000 its reverse (20022123321), we get a palindrome (12352144125321).

The spelling of 12332122002000 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-two million, two thousand".