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222201121212120 = 233564712132359391
BaseRepresentation
bin110010100001011100111010…
…111001100000011011011000
31002010202012221011222120120110
4302201130322321200123120
5213111020344012241440
62104325441430124320
764542333632052501
oct6241347271403330
91063665834876513
10222201121212120
1164888a6a175656
1220b08095ab06a0
1396ca6254c2b6b
143cc283d6b3ba8
151aa4e639ed080
hexca173ae606d8

222201121212120 has 128 divisors (see below), whose sum is σ = 668184344432640. Its totient is φ = 59113251816960.

The previous prime is 222201121212061. The next prime is 222201121212221. The reversal of 222201121212120 is 21212121102222.

It is a super-3 number, since 3×2222011212121203 (a number of 44 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 92997625 + ... + 95357015.

It is an arithmetic number, because the mean of its divisors is an integer number (5220190190880).

Almost surely, 2222201121212120 is an apocalyptic number.

222201121212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201121212120 is an abundant number, since it is smaller than the sum of its proper divisors (445983223220520).

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

222201121212120 is a wasteful number, since it uses less digits than its factorization.

222201121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361265 (or 2361261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 222201121212120 its reverse (21212121102222), we get a palindrome (243413242314342).

The spelling of 222201121212120 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 647 1213 1294 1941 2426 2588 3235 3639 3882 4852 5176 6065 6470 7278 7764 9704 9705 12130 12940 14556 15528 18195 19410 24260 25880 29112 36390 38820 48520 72780 77640 145560 784811 1569622 2354433 2359391 3139244 3924055 4708866 4718782 6278488 7078173 7848110 9417732 9437564 11772165 11796955 14156346 15696220 18835464 18875128 23544330 23593910 28312692 31392440 35390865 47088660 47187820 56625384 70781730 94177320 94375640 141563460 283126920 1526525977 2861941283 3053051954 4579577931 5723882566 6106103908 7632629885 8585823849 9159155862 11447765132 12212207816 14309706415 15265259770 17171647698 18318311724 22895530264 22897889655 28619412830 30530519540 34343295396 36636623448 42929119245 45795779310 57238825660 61061039080 68686590792 85858238490 91591558620 114477651320 171716476980 183183117240 343432953960 1851676010101 3703352020202 5555028030303 7406704040404 9258380050505 11110056060606 14813408080808 18516760101010 22220112121212 27775140151515 37033520202020 44440224242424 55550280303030 74067040404040 111100560606060 222201121212120