200212202000 has 80 divisors (see below), whose sum is σ = 484506750000. Its totient is φ = 80019763200.

The previous prime is 200212201997. The next prime is 200212202011. The reversal of 200212202000 is 202212002.

It can be written as a sum of positive squares in 8 ways, for example, as 23142928384 + 177069273616 = 152128^2 + 420796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2457926 + ... + 2538074.

It is an arithmetic number, because the mean of its divisors is an integer number (6056334375).

Almost surely, 2^200212202000 is an apocalyptic number.

200212202000 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 200212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242253375000).

200212202000 is an abundant number, since it is smaller than the sum of its proper divisors (284294548000).

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

200212202000 is a wasteful number, since it uses less digits than its factorization.

200212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81421 (or 81405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200212202000 its reverse (202212002), we get a palindrome (200414414002).

The spelling of 200212202000 in words is "two hundred billion, two hundred twelve million, two hundred two thousand".