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222100120120 = 235971373071361
BaseRepresentation
bin1100111011011000110…
…0101110001000111000
3210020021112120002221211
43032312030232020320
512114330112320440
6250010440212504
722021563605044
oct3166614561070
9706245502854
10222100120120
118621280058a
1237064a6a134
1317c36b27528
14aa6d285024
155b9d77ceea
hex33b632e238

222100120120 has 128 divisors (see below), whose sum is σ = 510593751360. Its totient is φ = 86934159360.

The previous prime is 222100120111. The next prime is 222100120181. The reversal of 222100120120 is 21021001222.

It is a happy number.

222100120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 222100120120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 163188240 + ... + 163189600.

Almost surely, 2222100120120 is an apocalyptic number.

222100120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100120120 is an abundant number, since it is smaller than the sum of its proper divisors (288493631240).

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

222100120120 is a wasteful number, since it uses less digits than its factorization.

222100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222100120120 its reverse (21021001222), we get a palindrome (243121121342).

The spelling of 222100120120 in words is "two hundred twenty-two billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 137 194 274 307 388 485 548 614 685 776 970 1096 1228 1361 1370 1535 1940 2456 2722 2740 3070 3880 5444 5480 6140 6805 10888 12280 13289 13610 26578 27220 29779 42059 53156 54440 59558 66445 84118 106312 119116 132017 132890 148895 168236 186457 210295 238232 264034 265780 297790 336472 372914 417827 420590 528068 531560 595580 660085 745828 835654 841180 932285 1056136 1191160 1320170 1491656 1671308 1682360 1864570 2089135 2640340 3342616 3729140 4079723 4178270 5280680 7458280 8159446 8356540 16318892 16713080 18086329 20398615 32637784 36172658 40529219 40797230 57242299 72345316 81058438 81594460 90431645 114484598 144690632 162116876 163188920 180863290 202646095 228969196 286211495 324233752 361726580 405292190 457938392 572422990 723453160 810584380 1144845980 1621168760 2289691960 5552503003 11105006006 22210012012 27762515015 44420024024 55525030030 111050060060 222100120120