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121111211211012 = 2232113712107682733
BaseRepresentation
bin11011100010011001100110…
…101110001111100100000100
3120212211010012112201022221200
4123202121212232033210010
5111333241230032223022
61105325420005342500
734336665500504121
oct3342314656174404
9525733175638850
10121111211211012
1135653a81402a50
12117001b7707a30
135276979b106c9
1421c9b574a7748
15e005a94b6bac
hex6e2666b8f904

121111211211012 has 144 divisors (see below), whose sum is σ = 343028479614912. Its totient is φ = 35705463517440.

The previous prime is 121111211210993. The next prime is 121111211211017. The reversal of 121111211211012 is 210112112111121.

121111211211012 is a `hidden beast` number, since 121 + 111 + 211 + 211 + 0 + 12 = 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 (121111211211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177050398 + ... + 177733130.

It is an arithmetic number, because the mean of its divisors is an integer number (2382142219548).

Almost surely, 2121111211211012 is an apocalyptic number.

121111211211012 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 121111211211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171514239807456).

121111211211012 is an abundant number, since it is smaller than the sum of its proper divisors (221917268403900).

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

121111211211012 is a wasteful number, since it uses less digits than its factorization.

121111211211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694898 (or 694893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121111211211012 its reverse (210112112111121), we get a palindrome (331223323322133).

The spelling of 121111211211012 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 12107 14652 24214 36321 48428 72642 108963 133177 145284 217926 266354 399531 435852 447959 532708 682733 799062 895918 1198593 1343877 1365466 1598124 1791836 2048199 2397186 2687754 2730932 4031631 4096398 4794372 4927549 5375508 6144597 7510063 8063262 8192796 9855098 12289194 14782647 15020126 16126524 19710196 22530189 24578388 25261121 29565294 30040252 44347941 45060378 50522242 59130588 67590567 75783363 88695882 90120756 101044484 135181134 151566726 177391764 227350089 270362268 277872331 303133452 454700178 555744662 833616993 909400356 1111489324 1667233986 2500850979 3334467972 5001701958 8265848431 10003403916 16531696862 24797545293 33063393724 49595090586 74392635879 90924332741 99190181172 148785271758 181848665482 272772998223 297570543516 305836391947 363697330964 545545996446 611672783894 818318994669 917509175841 1091091992892 1223345567788 1636637989338 1835018351682 2752527527523 3273275978676 3364200311417 3670036703364 5505055055046 6728400622834 10092600934251 11010110110092 13456801245668 20185201868502 30277802802753 40370403737004 60555605605506 121111211211012