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220121122210120 = 235349829121715629
BaseRepresentation
bin110010000011001011110001…
…010011000000000101001000
31001212101101002110220100121101
4302003023301103000011020
5212322431024241210440
62100054125244551144
764236140416210435
oct6203136123000510
91055341073810541
10220121122210120
1164156930a3a58a
1220830b465524b4
1395a94430b6021
143c4dcc2268b8c
151a6acc769c69a
hexc832f14c0148

220121122210120 has 128 divisors (see below), whose sum is σ = 497731254300000. Its totient is φ = 87612594388992.

The previous prime is 220121122210061. The next prime is 220121122210133. The reversal of 220121122210120 is 21012221121022.

It can be written as a sum of positive squares in 16 ways, for example, as 107646061568644 + 112475060641476 = 10375262^2 + 10605426^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14084138466 + ... + 14084154094.

Almost surely, 2220121122210120 is an apocalyptic number.

220121122210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121122210120 is an abundant number, since it is smaller than the sum of its proper divisors (277610132089880).

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

220121122210120 is a wasteful number, since it uses less digits than its factorization.

220121122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18035 (or 18031 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220121122210120 its reverse (21012221121022), we get a palindrome (241133343331142).

The spelling of 220121122210120 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 349 698 829 1217 1396 1658 1745 2434 2792 3316 3490 4145 4868 6085 6632 6980 8290 9736 12170 13960 15629 16580 24340 31258 33160 48680 62516 78145 125032 156290 289321 312580 424733 578642 625160 849466 1008893 1157284 1446605 1698932 2017786 2123665 2314568 2893210 3397864 4035572 4247330 5044465 5454521 5786420 8071144 8494660 10088930 10909042 11572840 12956441 16989320 19020493 20177860 21818084 25912882 27272605 38040986 40355720 43636168 51825764 54545210 64782205 76081972 95102465 103651528 109090420 129564410 152163944 190204930 218180840 259128820 352103657 380409860 518257640 704207314 760819720 1408414628 1760518285 2816829256 3521036570 4521797909 6638152057 7042073140 9043595818 13276304114 14084146280 15767988697 18087191636 22608989545 26552608228 31535977394 33190760285 36174383272 45217979090 53105216456 63071954788 66381520570 78839943485 90435958180 126143909576 132763041140 157679886970 180871916360 265526082280 315359773940 630719547880 5503028055253 11006056110506 22012112221012 27515140276265 44024224442024 55030280552530 110060561105060 220121122210120