200121211200000 has 240 divisors, whose sum is σ = 666376632915840. Its totient is φ = 53365655040000.

The previous prime is 200121211199999. The next prime is 200121211200041. The reversal of 200121211200000 is 2112121002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16045960 + ... + 25645959.

It is an arithmetic number, because the mean of its divisors is an integer number (2776569303816).

Almost surely, 2^{200121211200000} is an apocalyptic number.

200121211200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200121211200000 is an abundant number, since it is smaller than the sum of its proper divisors (466255421715840).

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

200121211200000 is an frugal number, since it uses more digits than its factorization.

200121211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41691965 (or 41691929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200121211200000 its reverse (2112121002), we get a palindrome (200123323321002).

The spelling of 200121211200000 in words is "two hundred trillion, one hundred twenty-one billion, two hundred eleven million, two hundred thousand".