2001302331200 has 84 divisors (see below), whose sum is σ = 4926131549292. Its totient is φ = 800248320000.

The previous prime is 2001302331199. The next prime is 2001302331209. The reversal of 2001302331200 is 21332031002.

It can be written as a sum of positive squares in 6 ways, for example, as 192341890624 + 1808960440576 = 438568^2 + 1344976^2 .

It is a super-2 number, since 2×2001302331200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001302331209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4519700 + ... + 4942700.

Almost surely, 2^{2001302331200} is an apocalyptic number.

2001302331200 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 2001302331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463065774646).

2001302331200 is an abundant number, since it is smaller than the sum of its proper divisors (2924829218092).

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

2001302331200 is a wasteful number, since it uses less digits than its factorization.

2001302331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425980 (or 425965 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2001302331200 its reverse (21332031002), we get a palindrome (2022634362202).

The spelling of 2001302331200 in words is "two trillion, one billion, three hundred two million, three hundred thirty-one thousand, two hundred".