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120110101221220 = 225112578537248839
BaseRepresentation
bin11011010011110101001111…
…111010101100111101100100
3120202021102011110122120201121
4123103311033322230331210
5111220340441403034340
61103241452504103324
734204445164134205
oct3323651772547544
9522242143576647
10120110101221220
11352a845396a320
121157a185a64b44
1352034458a7196
1421935078815ac
15dd451559494a
hex6d3d4feacf64

120110101221220 has 96 divisors (see below), whose sum is σ = 276265456669440. Its totient is φ = 43501182320640.

The previous prime is 120110101221211. The next prime is 120110101221233. The reversal of 120110101221220 is 22122101011021.

It is a junction number, because it is equal to n+sod(n) for n = 120110101221194 and 120110101221203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482557561 + ... + 482806399.

It is an arithmetic number, because the mean of its divisors is an integer number (2877765173640).

Almost surely, 2120110101221220 is an apocalyptic number.

120110101221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110101221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138132728334720).

120110101221220 is an abundant number, since it is smaller than the sum of its proper divisors (156155355448220).

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

120110101221220 is a wasteful number, since it uses less digits than its factorization.

120110101221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257653 (or 257651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120110101221220 its reverse (22122101011021), we get a palindrome (142232202232241).

The spelling of 120110101221220 in words is "one hundred twenty trillion, one hundred ten billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2570 2827 5140 5654 8537 11308 14135 17074 28270 34148 42685 56540 85370 93907 170740 187814 248839 375628 469535 497678 939070 995356 1244195 1878140 2194009 2488390 2737229 4388018 4976780 5474458 8776036 10948916 10970045 13686145 21940090 24134099 27372290 43880180 48268198 54744580 63951623 96536396 120670495 127903246 241340990 255806492 319758115 482681980 639516230 703467853 1279032460 1406935706 2124338543 2813871412 3517339265 4248677086 7034678530 8497354172 10621692715 14069357060 21243385430 23367723973 42486770860 46735447946 93470895892 116838619865 233677239730 467354479460 545955005551 1091910011102 2183820022204 2729775027755 5459550055510 6005505061061 10919100111020 12011010122122 24022020244244 30027525305305 60055050610610 120110101221220