200001321121200 has 240 divisors, whose sum is σ = 641169437101056. Its totient is φ = 53292201804800.

The previous prime is 200001321121157. The next prime is 200001321121267. The reversal of 200001321121200 is 2121123100002.

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

It is a super-2 number, since 2×200001321121200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200001321121200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8941792417 + ... + 8941814783.

Almost surely, 2^{200001321121200} is an apocalyptic number.

200001321121200 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 200001321121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320584718550528).

200001321121200 is an abundant number, since it is smaller than the sum of its proper divisors (441168115979856).

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

200001321121200 is a wasteful number, since it uses less digits than its factorization.

200001321121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27852 (or 27841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 200001321121200 its reverse (2121123100002), we get a palindrome (202122444221202).

The spelling of 200001321121200 in words is "two hundred trillion, one billion, three hundred twenty-one million, one hundred twenty-one thousand, two hundred".