200211001120000 has 270 divisors, whose sum is σ = 540759717359862. Its totient is φ = 73924051968000.

The previous prime is 200211001119991. The next prime is 200211001120007. The reversal of 200211001120000 is 21100112002.

It can be written as a sum of positive squares in 15 ways, for example, as 133886004511744 + 66324996608256 = 11570912^2 + 8144016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211001120007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23337874 + ... + 30742126.

Almost surely, 2^{200211001120000} is an apocalyptic number.

200211001120000 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 200211001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270379858679931).

200211001120000 is an abundant number, since it is smaller than the sum of its proper divisors (340548716239862).

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

200211001120000 is an frugal number, since it uses more digits than its factorization.

200211001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404315 (or 7404273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200211001120000 its reverse (21100112002), we get a palindrome (200232101232002).

The spelling of 200211001120000 in words is "two hundred trillion, two hundred eleven billion, one million, one hundred twenty thousand".