200212220105000 has 80 divisors (see below), whose sum is σ = 489492763800480. Its totient is φ = 76602936344000.

The previous prime is 200212220104999. The next prime is 200212220105033. The reversal of 200212220105000 is 501022212002.

It is a super-3 number, since 3×200212220105000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 200212220105000.

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 19 ways as a sum of consecutive naturals, for example, 870372914 + ... + 870602913.

It is an arithmetic number, because the mean of its divisors is an integer number (6118659547506).

Almost surely, 2^{200212220105000} is an apocalyptic number.

200212220105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220105000 is an abundant number, since it is smaller than the sum of its proper divisors (289280543695480).

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

200212220105000 is a wasteful number, since it uses less digits than its factorization.

200212220105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740975876 (or 1740975857 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 200212220105000 its reverse (501022212002), we get a palindrome (200713242317002).

The spelling of 200212220105000 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred five thousand".