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111201101220012 = 223179291531938303
BaseRepresentation
bin11001010010001100000110…
…001000110000100010101100
3112120201201110221101122221220
4121102030012020300202230
5104033404323403020022
61032301025231223340
732265004644446556
oct3122140610604254
9476651427348856
10111201101220012
11324831386a5171
121057b627977b50
134a082aca7622b
141d6623a8044d6
15ccc8e0e2585c
hex6523062308ac

111201101220012 has 96 divisors (see below), whose sum is σ = 275052995481600. Its totient is φ = 34845882458112.

The previous prime is 111201101219981. The next prime is 111201101220049. The reversal of 111201101220012 is 210022101102111.

It is a happy number.

It is a super-3 number, since 3×1112011012200123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111201101219973 and 111201101220000.

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, 2903176453 + ... + 2903214755.

It is an arithmetic number, because the mean of its divisors is an integer number (2865135369600).

Almost surely, 2111201101220012 is an apocalyptic number.

111201101220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111201101220012 is an abundant number, since it is smaller than the sum of its proper divisors (163851894261588).

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

111201101220012 is a wasteful number, since it uses less digits than its factorization.

111201101220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54575 (or 54573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111201101220012 its reverse (210022101102111), we get a palindrome (321223202322123).

The spelling of 111201101220012 in words is "one hundred eleven trillion, two hundred one billion, one hundred one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 929 1858 2787 3716 5574 11148 15319 15793 30638 31586 38303 45957 47379 61276 63172 76606 91914 94758 114909 153212 183828 189516 229818 260423 459636 520846 651151 781269 1041692 1302302 1562538 1953453 2604604 3125076 3906906 7813812 14231351 28462702 35583487 42694053 56925404 71166974 85388106 106750461 142333948 170776212 213500922 241932967 427001844 483865934 586763657 604919279 725798901 967731868 1173527314 1209838558 1451597802 1760290971 1814757837 2347054628 2419677116 2903195604 3520581942 3629515674 7041163884 7259031348 9974982169 19949964338 29924946507 39899928676 59849893014 119699786028 545103437353 1090206874706 1635310312059 2180413749412 3270620624118 6541241248236 9266758435001 18533516870002 27800275305003 37067033740004 55600550610006 111201101220012