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12200102122212 = 22332937369104239
BaseRepresentation
bin1011000110001000111011…
…0000001101001011100100
31121012022121002112010122000
42301202032300031023210
53044341302120402322
641540352145005300
72366266622000634
oct261421660151344
947168532463560
1012200102122212
113984041656a24
121450565623830
136a6606c164b4
143026b94846c4
151625453183ac
hexb188ec0d2e4

12200102122212 has 96 divisors (see below), whose sum is σ = 32721769920000. Its totient is φ = 3926326908672.

The previous prime is 12200102122177. The next prime is 12200102122213. The reversal of 12200102122212 is 21222120100221.

It is a happy number.

12200102122212 is a `hidden beast` number, since 1 + 220 + 0 + 10 + 212 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12200102122213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116987589 + ... + 117091827.

It is an arithmetic number, because the mean of its divisors is an integer number (340851770000).

Almost surely, 212200102122212 is an apocalyptic number.

12200102122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200102122212 is an abundant number, since it is smaller than the sum of its proper divisors (20521667797788).

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

12200102122212 is a wasteful number, since it uses less digits than its factorization.

12200102122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141650 (or 141642 counting only the distinct ones).

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

Adding to 12200102122212 its reverse (21222120100221), we get a palindrome (33422222222433).

The spelling of 12200102122212 in words is "twelve trillion, two hundred billion, one hundred two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 37369 74738 104239 112107 149476 208478 224214 312717 336321 416956 448428 625434 672642 938151 1008963 1083701 1250868 1345284 1876302 2017926 2167402 2814453 3022931 3251103 3752604 4035852 4334804 5628906 6045862 6502206 9068793 9753309 11257812 12091724 13004412 18137586 19506618 27206379 29259927 36275172 39013236 54412758 58519854 81619137 108825516 117039708 163238274 326476548 3895307191 7790614382 11685921573 15581228764 23371843146 35057764719 46743686292 70115529438 105173294157 112963908539 140231058876 210346588314 225927817078 338891725617 420693176628 451855634156 677783451234 1016675176851 1355566902468 2033350353702 3050025530553 4066700707404 6100051061106 12200102122212