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111221212101012 = 22321317101138411277
BaseRepresentation
bin11001010010011110110100…
…110101101011100110010100
3112120210122101111120021100100
4121102132310311223212110
5104034222020244213022
61032314153001214100
732266316214224646
oct3122366465534624
9476718344507310
10111221212101012
1132490718777782
12105834baa91330
134a0a166404210
141d671c7710896
15ccd1bb7951ac
hex6527b4d6b994

111221212101012 has 144 divisors (see below), whose sum is σ = 323752837563792. Its totient is φ = 31889957990400.

The previous prime is 111221212101001. The next prime is 111221212101017. The reversal of 111221212101012 is 210101212122111.

It is a happy number.

111221212101012 is a `hidden beast` number, since 111 + 221 + 21 + 210 + 101 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2385282558096 + 108835929542916 = 1544436^2 + 10432446^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221212101017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68402083 + ... + 70009194.

It is an arithmetic number, because the mean of its divisors is an integer number (2248283594193).

Almost surely, 2111221212101012 is an apocalyptic number.

111221212101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111221212101012 is an abundant number, since it is smaller than the sum of its proper divisors (212531625462780).

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

111221212101012 is a wasteful number, since it uses less digits than its factorization.

111221212101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138411418 (or 138411413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111221212101012 its reverse (210101212122111), we get a palindrome (321322424223123).

The spelling of 111221212101012 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 101 102 117 153 156 202 204 221 234 303 306 404 442 468 606 612 663 884 909 1212 1313 1326 1717 1818 1989 2626 2652 3434 3636 3939 3978 5151 5252 6868 7878 7956 10302 11817 15453 15756 20604 22321 23634 30906 44642 47268 61812 66963 89284 133926 200889 267852 401778 803556 138411277 276822554 415233831 553645108 830467662 1245701493 1660935324 1799346601 2352991709 2491402986 3598693202 4705983418 4982805972 5398039803 7058975127 7197386404 9411966836 10796079606 13979538977 14117950254 16194119409 21176925381 21592159212 27959077954 28235900508 30588892217 32388238818 41938616931 42353850762 55918155908 61177784434 64776477636 83877233862 84707701524 91766676651 122355568868 125815850793 167754467724 181734006701 183533353302 237652162609 251631701586 275300029953 363468013402 367066706604 475304325218 503263403172 545202020103 550600059906 712956487827 726936026804 950608650436 1090404040206 1101200119812 1425912975654 1635606060309 2138869463481 2180808080412 2851825951308 3089478113917 3271212120618 4277738926962 6178956227834 6542424241236 8555477853924 9268434341751 12357912455668 18536868683502 27805303025253 37073737367004 55610606050506 111221212101012