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120222200112 = 2437265378277
BaseRepresentation
bin110111111110111001…
…1010011000100110000
3102111022111021112202020
41233331303103010300
53432203340400422
6131121310551440
711454134561100
oct1577563230460
9374274245666
10120222200112
1146a93330383
121b372208580
13b44c245321
145b66a67200
1531d974795c
hex1bfdcd3130

120222200112 has 120 divisors (see below), whose sum is σ = 361837863216. Its totient is φ = 34296159744.

The previous prime is 120222200083. The next prime is 120222200177. The reversal of 120222200112 is 211002222021.

It is a junction number, because it is equal to n+sod(n) for n = 120222200091 and 120222200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496718 + ... + 1574994.

Almost surely, 2120222200112 is an apocalyptic number.

120222200112 is a gapful number since it is divisible by the number (12) 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 120222200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180918931608).

120222200112 is an abundant number, since it is smaller than the sum of its proper divisors (241615663104).

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

120222200112 is a wasteful number, since it uses less digits than its factorization.

120222200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78955 (or 78942 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120222200112 its reverse (211002222021), we get a palindrome (331224422133).

The spelling of 120222200112 in words is "one hundred twenty billion, two hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 653 784 1176 1306 1959 2352 2612 3918 4571 5224 7836 9142 10448 13713 15672 18284 27426 31344 31997 36568 54852 63994 73136 78277 95991 109704 127988 156554 191982 219408 234831 255976 313108 383964 469662 511952 547939 626216 767928 939324 1095878 1252432 1535856 1643817 1878648 2191756 3287634 3757296 3835573 4383512 6575268 7671146 8767024 11506719 13150536 15342292 23013438 26301072 30684584 46026876 51114881 61369168 92053752 102229762 153344643 184107504 204459524 306689286 357804167 408919048 613378572 715608334 817838096 1073412501 1226757144 1431216668 2146825002 2453514288 2504629169 2862433336 4293650004 5009258338 5724866672 7513887507 8587300008 10018516676 15027775014 17174600016 20037033352 30055550028 40074066704 60111100056 120222200112