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201201222000020 = 2251115723325000711
BaseRepresentation
bin101101101111110111001111…
…010111011001110110010100
3222101101122112002202012102212
4231233313033113121312110
5202332440100313000040
61551530322041452552
760244210562665034
oct5557671727316624
9871348462665385
10201201222000020
1159121a60572110
121a69618a1a1158
138836269aa1908
1437982965678c4
15183da8b1add65
hexb6fdcf5d9d94

201201222000020 has 96 divisors (see below), whose sum is σ = 465860467328256. Its totient is φ = 72386055705600.

The previous prime is 201201221999959. The next prime is 201201222000061. The reversal of 201201222000020 is 20000222102102.

It is a junction number, because it is equal to n+sod(n) for n = 201201221999959 and 201201222000004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4452536 + ... + 20548175.

It is an arithmetic number, because the mean of its divisors is an integer number (4852713201336).

Almost surely, 2201201222000020 is an apocalyptic number.

201201222000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201222000020 is an abundant number, since it is smaller than the sum of its proper divisors (264659245328236).

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

201201222000020 is a wasteful number, since it uses less digits than its factorization.

201201222000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001121 (or 25001119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201201222000020 its reverse (20000222102102), we get a palindrome (221201444102122).

The spelling of 201201222000020 in words is "two hundred one trillion, two hundred one billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 233 314 466 628 785 932 1165 1570 1727 2330 2563 3140 3454 4660 5126 6908 8635 10252 12815 17270 25630 34540 36581 51260 73162 146324 182905 365810 402391 731620 804782 1609564 2011955 4023910 8047820 25000711 50001422 100002844 125003555 250007110 275007821 500014220 550015642 1100031284 1375039105 2750078210 3925111627 5500156420 5825165663 7850223254 11650331326 15700446508 19625558135 23300662652 29125828315 39251116270 43176227897 58251656630 64076822293 78502232540 86352455794 116503313260 128153644586 172704911588 215881139485 256307289172 320384111465 431762278970 640768222930 863524557940 914551009091 1281536445860 1829102018182 3658204036364 4572755045455 9145510090910 10060061100001 18291020181820 20120122200002 40240244400004 50300305500005 100600611000010 201201222000020