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200212220101122 = 232101262142017449
BaseRepresentation
bin101101100001011110001010…
…010000100100001000000010
3222020220002201212012012101200
4231201132022100210020002
5202220234111321213442
61545452120230442030
760112566312362505
oct5541361220441002
9866802655165350
10200212220101122
11588805867a8379
121a556577503316
138793c15217308
143762474a5913c
151822ea525e34c
hexb6178a424202

200212220101122 has 48 divisors (see below), whose sum is σ = 438255281014200. Its totient is φ = 66051428256000.

The previous prime is 200212220101079. The next prime is 200212220101133. The reversal of 200212220101122 is 221101022212002.

It is a happy number.

200212220101122 is a `hidden beast` number, since 200 + 21 + 2 + 220 + 101 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199899189922041 + 313030179081 = 14138571^2 + 559491^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200212220101095 and 200212220101104.

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 23 ways as a sum of consecutive naturals, for example, 16243747 + ... + 25773702.

Almost surely, 2200212220101122 is an apocalyptic number.

200212220101122 is an abundant number, since it is smaller than the sum of its proper divisors (238043060913078).

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

200212220101122 is a wasteful number, since it uses less digits than its factorization.

200212220101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42020179 (or 42020176 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212220101122 its reverse (221101022212002), we get a palindrome (421313242313124).

The spelling of 200212220101122 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 2621 5242 7863 15726 23589 47178 264721 529442 794163 1588326 2382489 4764978 42017449 84034898 126052347 252104694 378157041 756314082 4243762349 8487524698 12731287047 25462574094 38193861141 76387722282 110127733829 220255467658 330383201487 660766402974 991149604461 1982299208922 11122901116729 22245802233458 33368703350187 66737406700374 100106110050561 200212220101122