212002112000200 has 144 divisors (see below), whose sum is σ = 524534977144080. Its totient is φ = 79670784599040.

The previous prime is 212002112000177. The next prime is 212002112000213. The reversal of 212002112000200 is 2000211200212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29283979 + ... + 35798821.

It is an arithmetic number, because the mean of its divisors is an integer number (3642604007945).

Almost surely, 2^{212002112000200} is an apocalyptic number.

212002112000200 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 212002112000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262267488572040).

212002112000200 is an abundant number, since it is smaller than the sum of its proper divisors (312532865143880).

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

212002112000200 is a wasteful number, since it uses less digits than its factorization.

212002112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515456 (or 6515430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212002112000200 its reverse (2000211200212), we get a palindrome (214002323200412).

The spelling of 212002112000200 in words is "two hundred twelve trillion, two billion, one hundred twelve million, two hundred", and thus it is an aban number.