2000121021200 has 120 divisors (see below), whose sum is σ = 4889378759880. Its totient is φ = 786076876800.

The previous prime is 2000121021161. The next prime is 2000121021203. The reversal of 2000121021200 is 21201210002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1744259055616 + 255861965584 = 1320704^2 + 505828^2 .

It is a super-2 number, since 2×2000121021200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000121021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22623482 + ... + 22711718.

It is an arithmetic number, because the mean of its divisors is an integer number (40744822999).

Almost surely, 2^{2000121021200} is an apocalyptic number.

2000121021200 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 2000121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444689379940).

2000121021200 is an abundant number, since it is smaller than the sum of its proper divisors (2889257738680).

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

2000121021200 is a wasteful number, since it uses less digits than its factorization.

2000121021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89245 (or 89234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000121021200 its reverse (21201210002), we get a palindrome (2021322231202).

The spelling of 2000121021200 in words is "two trillion, one hundred twenty-one million, twenty-one thousand, two hundred".