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120221021220201 = 34112941613185123
BaseRepresentation
bin11011010101011100100011…
…010000111010110101101001
3120202200000110200012100110000
4123111130203100322311221
5111224200122413021301
61103404435200413213
734215452656436346
oct3325344320726551
9522600420170400
10120221021220201
11353404a3361270
1211597780917209
135210a41880585
142198a2ad097cd
15dd7358319786
hex6d572343ad69

120221021220201 has 160 divisors (see below), whose sum is σ = 207954469134720. Its totient is φ = 68520612787200.

The previous prime is 120221021220163. The next prime is 120221021220217. The reversal of 120221021220201 is 102022120122021.

It is a happy number.

120221021220201 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 0 + 21 + 220 + 201 = 666.

It is not a de Polignac number, because 120221021220201 - 217 = 120221021089129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120221021224201) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 649319026 + ... + 649504148.

It is an arithmetic number, because the mean of its divisors is an integer number (1299715432092).

Almost surely, 2120221021220201 is an apocalyptic number.

120221021220201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120221021220201 is a deficient number, since it is larger than the sum of its proper divisors (87733447914519).

120221021220201 is a wasteful number, since it uses less digits than its factorization.

120221021220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185829 (or 185820 counting only the distinct ones).

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

Adding to 120221021220201 its reverse (102022120122021), we get a palindrome (222243141342222).

The spelling of 120221021220201 in words is "one hundred twenty trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 11 27 29 33 41 81 87 99 123 261 297 319 369 451 613 783 891 957 1107 1189 1353 1839 2349 2871 3321 3567 4059 5517 6743 8613 10701 12177 13079 16551 17777 20229 25133 25839 32103 36531 39237 49653 53331 60687 75399 96309 117711 159993 182061 185123 195547 226197 276463 353133 479979 546183 555369 586641 678591 728857 829389 1059399 1439937 1666107 1759923 2035773 2036353 2186571 2488167 4998321 5279769 5368567 6109059 6559713 7464501 7590043 8017427 14994963 15839307 16105701 18327177 19679139 22393503 22770129 24052281 48317103 54981531 59037417 59054237 68310387 72156843 83490473 113480399 144951309 164944593 177162711 204931161 216470529 220111247 250471419 340441197 434853927 531488133 614793483 649411587 660333741 751414257 1021323591 1248284389 1594464399 1981001223 2254242771 2421223717 3063970773 3290931571 3744853167 4652696359 4783393197 5943003669 6762728313 7263671151 9191912319 9872794713 11234559501 13958089077 17829011007 21791013453 29618384139 33703678503 36200247281 41874267231 51179659949 65373040359 88855152417 101111035509 108600741843 125622801693 134928194411 153538979847 196119121077 266565457251 325802225529 376868405079 404784583233 460616939541 977406676587 1214353749699 1381850818623 1484210138521 2932220029761 3643061249097 4145552455869 4452630415563 10929183747291 13357891246689 40073673740067 120221021220201