200211121200000 has 768 divisors, whose sum is σ = 671940164952000. Its totient is φ = 52812840960000.

The previous prime is 200211121199989. The next prime is 200211121200023. The reversal of 200211121200000 is 2121112002.

It is a super-2 number, since 2×200211121200000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45951597822 + ... + 45951602178.

Almost surely, 2^{200211121200000} is an apocalyptic number.

200211121200000 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 200211121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335970082476000).

200211121200000 is an abundant number, since it is smaller than the sum of its proper divisors (471729043752000).

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

200211121200000 is an equidigital number, since it uses as much as digits as its factorization.

200211121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4773 counting only the distinct ones).

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

Adding to 200211121200000 its reverse (2121112002), we get a palindrome (200213242312002).

The spelling of 200211121200000 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty-one million, two hundred thousand".