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12002212220112 = 24321718127087649
BaseRepresentation
bin1010111010100111101110…
…0110001000110011010000
31120111101210210202112021200
42232221323212020303100
53033121012312020422
641305423513351200
72346063002405562
oct256517346106320
946441723675250
1012002212220112
1139081229a0594
12141a138708500
13690a5ab0c47a
142d6ca571b332
1515c3122532ac
hexaea7b988cd0

12002212220112 has 120 divisors (see below), whose sum is σ = 35761873984200. Its totient is φ = 3744596459520.

The previous prime is 12002212220099. The next prime is 12002212220149. The reversal of 12002212220112 is 21102221220021.

It is a happy number.

12002212220112 is a `hidden beast` number, since 120 + 0 + 2 + 212 + 220 + 112 = 666.

12002212220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 297356452416 + 11704855767696 = 545304^2 + 3421236^2 .

It is a super-3 number, since 3×120022122201123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13100737 + ... + 13986912.

It is an arithmetic number, because the mean of its divisors is an integer number (298015616535).

Almost surely, 212002212220112 is an apocalyptic number.

12002212220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002212220112 is an abundant number, since it is smaller than the sum of its proper divisors (23759661764088).

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

12002212220112 is a wasteful number, since it uses less digits than its factorization.

12002212220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27087861 (or 27087852 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002212220112 its reverse (21102221220021), we get a palindrome (33104433440133).

The spelling of 12002212220112 in words is "twelve trillion, two billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 181 204 272 306 362 408 543 612 724 816 1086 1224 1448 1629 2172 2448 2896 3077 3258 4344 6154 6516 8688 9231 12308 13032 18462 24616 26064 27693 36924 49232 55386 73848 110772 147696 221544 443088 27087649 54175298 81262947 108350596 162525894 216701192 243788841 325051788 433402384 460490033 487577682 650103576 920980066 975155364 1300207152 1381470099 1841960132 1950310728 2762940198 3683920264 3900621456 4144410297 4902864469 5525880396 7367840528 8288820594 9805728938 11051760792 14708593407 16577641188 19611457876 22103521584 29417186814 33155282376 39222915752 44125780221 58834373628 66310564752 78445831504 83348695973 88251560442 117668747256 166697391946 176503120884 235337494512 250046087919 333394783892 353006241768 500092175838 666789567784 706012483536 750138263757 1000184351676 1333579135568 1500276527514 2000368703352 3000553055028 4000737406704 6001106110056 12002212220112