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200022201222012 = 2232132579165722321
BaseRepresentation
bin101101011110101101001100…
…010000000100001101111100
3222020012221021010010222202100
4231132231030100010031330
5202204130432003101022
61545224533010425100
760063061416510351
oct5536551420041574
9866187233128670
10200022201222012
1158807a37027014
121a525786592190
13877c021a05440
1437571aa3c4628
15181d0831b91ac
hexb5eb4c40437c

200022201222012 has 72 divisors (see below), whose sum is σ = 544716014628240. Its totient is φ = 61521428298240.

The previous prime is 200022201222001. The next prime is 200022201222037. The reversal of 200022201222012 is 210222102220002.

200022201222012 is a `hidden beast` number, since 200 + 0 + 2 + 220 + 12 + 220 + 12 = 666.

It is a super-2 number, since 2×2000222012220122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81654189 + ... + 84068132.

It is an arithmetic number, because the mean of its divisors is an integer number (7565500203170).

Almost surely, 2200022201222012 is an apocalyptic number.

It is an amenable number.

200022201222012 is an abundant number, since it is smaller than the sum of its proper divisors (344693813406228).

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

200022201222012 is a wasteful number, since it uses less digits than its factorization.

200022201222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165724923 (or 165724918 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200022201222012 its reverse (210222102220002), we get a palindrome (410244303442014).

The spelling of 200022201222012 in words is "two hundred trillion, twenty-two billion, two hundred one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2579 5158 7737 10316 15474 23211 30948 33527 46422 67054 92844 100581 134108 201162 301743 402324 603486 1206972 165722321 331444642 497166963 662889284 994333926 1491500889 1988667852 2154390173 2983001778 4308780346 5966003556 6463170519 8617560692 12926341038 19389511557 25852682076 38779023114 77558046228 427397865859 854795731718 1282193597577 1709591463436 2564387195154 3846580792731 5128774390308 5556172256167 7693161585462 11112344512334 15386323170924 16668516768501 22224689024668 33337033537002 50005550305503 66674067074004 100011100611006 200022201222012