2001211221200 has 30 divisors (see below), whose sum is σ = 4807909959894. Its totient is φ = 800484488320.

The previous prime is 2001211221197. The next prime is 2001211221203. The reversal of 2001211221200 is 21221121002.

It is an interprime number because it is at equal distance from previous prime (2001211221197) and next prime (2001211221203).

It can be written as a sum of positive squares in 3 ways, for example, as 8122335376 + 1993088885824 = 90124^2 + 1411768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001211221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501513627 + ... + 2501514426.

Almost surely, 2^{2001211221200} is an apocalyptic number.

2001211221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001211221200 is an abundant number, since it is smaller than the sum of its proper divisors (2806698738694).

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

2001211221200 is a wasteful number, since it uses less digits than its factorization.

2001211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003028071 (or 5003028060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001211221200 its reverse (21221121002), we get a palindrome (2022432342202).

The spelling of 2001211221200 in words is "two trillion, one billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".