Search a number
-
+
12223222220112 = 243592619911801
BaseRepresentation
bin1011000111011111000011…
…0100011000010101010000
31121021112021101001210120020
42301313300310120111100
53100231124342020422
641555134252543440
72401045561410111
oct261676064302520
947245241053506
1012223222220112
113992926314752
121454b38481b80
136a884cb34cb7
1430386dcb6208
15162e49e4c95c
hexb1df0d18550

12223222220112 has 120 divisors (see below), whose sum is σ = 32128830081600. Its totient is φ = 4004364172800.

The previous prime is 12223222220089. The next prime is 12223222220129. The reversal of 12223222220112 is 21102222232221.

It is a super-3 number, since 3×122232222201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1035772612 + ... + 1035784412.

It is an arithmetic number, because the mean of its divisors is an integer number (267740250680).

Almost surely, 212223222220112 is an apocalyptic number.

12223222220112 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 12223222220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064415040800).

12223222220112 is an abundant number, since it is smaller than the sum of its proper divisors (19905607861488).

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

12223222220112 is a wasteful number, since it uses less digits than its factorization.

12223222220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18129 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12223222220112 its reverse (21102222232221), we get a palindrome (33325444452333).

The spelling of 12223222220112 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 3481 6199 6962 10443 11801 12398 13924 18597 20886 23602 24796 27848 35403 37194 41772 47204 49592 55696 70806 74388 83544 94408 99184 141612 148776 167088 188816 283224 297552 365741 566448 696259 731482 1097223 1392518 1462964 2088777 2194446 2785036 2925928 4177554 4388892 5570072 5851856 8355108 8777784 11140144 16710216 17555568 21578719 33420432 41079281 43157438 64736157 73154399 82158562 86314876 123237843 129472314 146308798 164317124 172629752 219463197 246475686 258944628 292617596 328634248 345259504 438926394 492951372 517889256 585235192 657268496 877852788 985902744 1035778512 1170470384 1755705576 1971805488 3511411152 4316109541 8632219082 12948328623 17264438164 25896657246 34528876328 51793314492 69057752656 103586628984 207173257968 254650462919 509300925838 763951388757 1018601851676 1527902777514 2037203703352 3055805555028 4074407406704 6111611110056 12223222220112