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221122111022120 = 235711363191976731
BaseRepresentation
bin110010010001110000000000…
…111000010010010000101000
31001222221001211002221122011002
4302101300000320102100220
5212440331040410201440
62102142032341054132
764401355021552340
oct6221600070222050
91058831732848132
10221122111022120
11645023a7037580
1220972b436b7348
13964c9581a2509
143c8651db49d20
151a86d60b35115
hexc91c00e12428

221122111022120 has 128 divisors (see below), whose sum is σ = 620307989913600. Its totient is φ = 68919244934400.

The previous prime is 221122111022101. The next prime is 221122111022209. The reversal of 221122111022120 is 21220111221122.

It is a super-2 number, since 2×2211221110221202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221122111022092 and 221122111022101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110874155 + ... + 112850885.

It is an arithmetic number, because the mean of its divisors is an integer number (4846156171200).

Almost surely, 2221122111022120 is an apocalyptic number.

221122111022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122111022120 is an abundant number, since it is smaller than the sum of its proper divisors (399185878891480).

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

221122111022120 is a wasteful number, since it uses less digits than its factorization.

221122111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013079 (or 2013075 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221122111022120 its reverse (21220111221122), we get a palindrome (242342222243242).

The spelling of 221122111022120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 36319 72638 145276 181595 254233 290552 363190 399509 508466 726380 799018 1016932 1271165 1452760 1598036 1976731 1997545 2033864 2542330 2796563 3196072 3953462 3995090 5084660 5593126 7906924 7990180 9883655 10169320 11186252 13837117 13982815 15813848 15980360 19767310 21744041 22372504 27674234 27965630 39534620 43488082 55348468 55931260 69185585 79069240 86976164 108720205 110696936 111862520 138371170 152208287 173952328 217440410 276742340 304416574 434880820 553484680 608833148 761041435 869761640 1217666296 1522082870 3044165740 6088331480 71792893189 143585786378 287171572756 358964465945 502550252323 574343145512 717928931890 789721825079 1005100504646 1435857863780 1579443650158 2010201009292 2512751261615 2871715727560 3158887300316 3948609125395 4020402018584 5025502523230 5528052775553 6317774600632 7897218250790 10051005046460 11056105551106 15794436501580 20102010092920 22112211102212 27640263877765 31588873003160 44224422204424 55280527755530 110561055511060 221122111022120