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112001000112120 = 23357421316709083
BaseRepresentation
bin11001011101110101000011…
…110100110111111111111000
3112200120012011021021120222210
4121131311003310313333320
5104140011022012041440
61034112314340415120
732406543123033450
oct3135650364677770
9480505137246883
10112001000112120
11327613a2781019
121068a6643a74a0
134a65858ab1a42
141d92c3d56ad60
15ce360a3e4a80
hex65dd43d37ff8

112001000112120 has 128 divisors (see below), whose sum is σ = 384915552330240. Its totient is φ = 25539420372480.

The previous prime is 112001000112103. The next prime is 112001000112137. The reversal of 112001000112120 is 21211000100211.

It is an interprime number because it is at equal distance from previous prime (112001000112103) and next prime (112001000112137).

It is a super-2 number, since 2×1120010001121202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112001000112096 and 112001000112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158000902 + ... + 158708181.

It is an arithmetic number, because the mean of its divisors is an integer number (3007152752580).

Almost surely, 2112001000112120 is an apocalyptic number.

112001000112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001000112120 is an abundant number, since it is smaller than the sum of its proper divisors (272914552218120).

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

112001000112120 is a wasteful number, since it uses less digits than its factorization.

112001000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316709525 (or 316709521 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112001000112120 its reverse (21211000100211), we get a palindrome (133212000212331).

The spelling of 112001000112120 in words is "one hundred twelve trillion, one billion, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 421 840 842 1263 1684 2105 2526 2947 3368 4210 5052 5894 6315 8420 8841 10104 11788 12630 14735 16840 17682 23576 25260 29470 35364 44205 50520 58940 70728 88410 117880 176820 353640 316709083 633418166 950127249 1266836332 1583545415 1900254498 2216963581 2533672664 3167090830 3800508996 4433927162 4750636245 6334181660 6650890743 7601017992 8867854324 9501272490 11084817905 12668363320 13301781486 17735708648 19002544980 22169635810 26603562972 33254453715 38005089960 44339271620 53207125944 66508907430 88678543240 133017814860 133334523943 266035629720 266669047886 400003571829 533338095772 666672619715 800007143658 933341667601 1066676191544 1333345239430 1600014287316 1866683335202 2000017859145 2666690478860 2800025002803 3200028574632 3733366670404 4000035718290 4666708338005 5333380957720 5600050005606 7466733340808 8000071436580 9333416676010 11200100011212 14000125014015 16000142873160 18666833352020 22400200022424 28000250028030 37333666704040 56000500056060 112001000112120