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12002212130220 = 22325136091784199
BaseRepresentation
bin1010111010100111101110…
…0101110010110110101100
31120111101210210120221222100
42232221323211302312230
53033121012301131340
641305423511415100
72346063001552524
oct256517345626654
946441723527870
1012002212130220
113908122939aa4
12141a138684490
13690a5aaaa590
142d6ca56d6684
1515c312236830
hexaea7b972dac

12002212130220 has 144 divisors (see below), whose sum is σ = 39208335566400. Its totient is φ = 2954307091968.

The previous prime is 12002212130197. The next prime is 12002212130231. The reversal of 12002212130220 is 2203121220021.

12002212130220 is a `hidden beast` number, since 1 + 200 + 2 + 212 + 1 + 30 + 220 = 666.

It is a super-2 number, since 2×120022121302202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002212130193 and 12002212130202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142503681 + ... + 142587879.

It is an arithmetic number, because the mean of its divisors is an integer number (272280108100).

Almost surely, 212002212130220 is an apocalyptic number.

12002212130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002212130220 is an abundant number, since it is smaller than the sum of its proper divisors (27206123436180).

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

12002212130220 is a wasteful number, since it uses less digits than its factorization.

12002212130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145144 (or 145139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12002212130220 its reverse (2203121220021), we get a palindrome (14205333350241).

The spelling of 12002212130220 in words is "twelve trillion, two billion, two hundred twelve million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 60917 84199 121834 168398 182751 243668 252597 304585 336796 365502 420995 505194 548253 609170 731004 757791 791921 841990 913755 1010388 1094587 1096506 1218340 1262985 1515582 1583842 1683980 1827510 2189174 2193012 2375763 2525970 2741265 3031164 3167684 3283761 3655020 3788955 3959605 4378348 4751526 5051940 5472935 5482530 6567522 7127289 7577910 7919210 9503052 9851283 10945870 10965060 11878815 13135044 14254578 15155820 15838420 16418805 19702566 21891740 23757630 28509156 32837610 35636445 39405132 47515260 49256415 65675220 71272890 98512830 142545780 197025660 5129150483 10258300966 15387451449 20516601932 25645752415 30774902898 46162354347 51291504830 61549805796 66678956279 76937257245 92324708694 102583009660 133357912558 153874514490 184649417388 200036868837 230811771735 266715825116 307749028980 333394781395 400073737674 461623543470 600110606511 666789562790 800147475348 923247086940 1000184344185 1200221213022 1333579125580 2000368688370 2400442426044 3000553032555 4000737376740 6001106065110 12002212130220