200210120000000 has 640 divisors, whose sum is σ = 548150768605440. Its totient is φ = 72449280000000.

The previous prime is 200210119999999. The next prime is 200210120000071. The reversal of 200210120000000 is 21012002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 63 ways as a sum of consecutive naturals, for example, 100759999007 + ... + 100760000993.

It is an arithmetic number, because the mean of its divisors is an integer number (856485575946).

Almost surely, 2^{200210120000000} is an apocalyptic number.

200210120000000 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 200210120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274075384302720).

200210120000000 is an abundant number, since it is smaller than the sum of its proper divisors (347940648605440).

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

200210120000000 is an frugal number, since it uses more digits than its factorization.

200210120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2234 counting only the distinct ones).

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

Adding to 200210120000000 its reverse (21012002), we get a palindrome (200210141012002).

The spelling of 200210120000000 in words is "two hundred trillion, two hundred ten billion, one hundred twenty million", and thus it is an aban number.