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112011200022012 = 2231928314231219931
BaseRepresentation
bin11001011101111110100011…
…110010011100010111111100
3112200121011111010012200221020
4121131332203302130113330
5104140142414201201022
61034121122424104140
732410353645606204
oct3135764362342774
9480534433180836
10112011200022012
1132765757317315
1210690630305050
134a667c3024495
141d9352a08b404
15ce3a05ae035c
hex65dfa3c9c5fc

112011200022012 has 96 divisors (see below), whose sum is σ = 276281611038720. Its totient is φ = 35222170299840.

The previous prime is 112011200021957. The next prime is 112011200022023. The reversal of 112011200022012 is 210220002110211.

It is a junction number, because it is equal to n+sod(n) for n = 112011200021982 and 112011200022000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91207687 + ... + 92427617.

It is an arithmetic number, because the mean of its divisors is an integer number (2877933448320).

Almost surely, 2112011200022012 is an apocalyptic number.

112011200022012 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 112011200022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138140805519360).

112011200022012 is an abundant number, since it is smaller than the sum of its proper divisors (164270411016708).

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

112011200022012 is a wasteful number, since it uses less digits than its factorization.

112011200022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221663 (or 1221661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112011200022012 its reverse (210220002110211), we get a palindrome (322231202132223).

The spelling of 112011200022012 in words is "one hundred twelve trillion, eleven billion, two hundred million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 283 566 849 1132 1423 1698 2846 3396 4269 5377 5692 8538 10754 16131 17076 21508 27037 32262 54074 64524 81111 108148 162222 324444 402709 805418 1208127 1219931 1610836 2416254 2439862 3659793 4832508 4879724 7319586 7651471 14639172 15302942 22954413 23178689 30605884 45908826 46357378 69536067 91817652 92714756 139072134 278144268 345240473 690480946 1035721419 1380961892 1735961813 2071442838 3471923626 4142885676 5207885439 6559568987 6943847252 10415770878 13119137974 19678706961 20831541756 26238275948 32983274447 39357413922 65966548894 78714827844 98949823341 131933097788 197899646682 395799293364 491277193079 982554386158 1473831579237 1965108772316 2947663158474 5895326316948 9334266668501 18668533337002 28002800005503 37337066674004 56005600011006 112011200022012