2002321231200 has 360 divisors, whose sum is σ = 7480185534360. Its totient is φ = 520928409600.

The previous prime is 2002321231193. The next prime is 2002321231289. The reversal of 2002321231200 is 21321232002.

2002321231200 is a `hidden beast` number, since 2 + 0 + 0 + 232 + 1 + 231 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 2279971 + ... + 3033629.

It is an arithmetic number, because the mean of its divisors is an integer number (20778293151).

Almost surely, 2^{2002321231200} is an apocalyptic number.

2002321231200 is a gapful number since it is divisible by the number (20) 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 2002321231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740092767180).

2002321231200 is an abundant number, since it is smaller than the sum of its proper divisors (5477864303160).

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

2002321231200 is a wasteful number, since it uses less digits than its factorization.

2002321231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753732 (or 753710 counting only the distinct ones).

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

Adding to 2002321231200 its reverse (21321232002), we get a palindrome (2023642463202).

The spelling of 2002321231200 in words is "two trillion, two billion, three hundred twenty-one million, two hundred thirty-one thousand, two hundred".