200121220112000 has 1024 divisors, whose sum is σ = 567983549952000. Its totient is φ = 69455554560000.

The previous prime is 200121220111931. The next prime is 200121220112017. The reversal of 200121220112000 is 211022121002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220640815547 + ... + 220640816453.

It is an arithmetic number, because the mean of its divisors is an integer number (554671435500).

Almost surely, 2^{200121220112000} is an apocalyptic number.

200121220112000 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 200121220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283991774976000).

200121220112000 is an abundant number, since it is smaller than the sum of its proper divisors (367862329840000).

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

200121220112000 is a wasteful number, since it uses less digits than its factorization.

200121220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1404 counting only the distinct ones).

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

Adding to 200121220112000 its reverse (211022121002), we get a palindrome (200332242233002).

The spelling of 200121220112000 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand".