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11120012120112 = 2437397829100559
BaseRepresentation
bin1010000111010001010001…
…0111110101000000110000
31110101001200202122001110220
42201310110113311000300
52424142241100320422
635352244003453040
72225252160315330
oct241642427650060
943331622561426
1011120012120112
1135a7a74a42055
1212b7171687180
136287c6c92c8c
142a62d63550c0
151443cc755e5c
hexa1d145f5030

11120012120112 has 160 divisors (see below), whose sum is σ = 32953238476800. Its totient is φ = 3165289104384.

The previous prime is 11120012120081. The next prime is 11120012120131. The reversal of 11120012120112 is 21102121002111.

It is a happy number.

It is a super-2 number, since 2×111200121201122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120012120091 and 11120012120100.

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, 110531689 + ... + 110632247.

It is an arithmetic number, because the mean of its divisors is an integer number (205957740480).

Almost surely, 211120012120112 is an apocalyptic number.

11120012120112 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 11120012120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476619238400).

11120012120112 is an abundant number, since it is smaller than the sum of its proper divisors (21833226356688).

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

11120012120112 is a wasteful number, since it uses less digits than its factorization.

11120012120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101803 (or 101797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11120012120112 its reverse (21102121002111), we get a palindrome (32222133122223).

The spelling of 11120012120112 in words is "eleven trillion, one hundred twenty billion, twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 397 794 829 1191 1588 1658 2382 2487 2779 3176 3316 4764 4974 5558 5803 6352 6632 8337 9528 9948 11116 11606 13264 16674 17409 19056 19896 22232 23212 33348 34818 39792 44464 46424 66696 69636 92848 100559 133392 139272 201118 278544 301677 329113 402236 603354 658226 703913 804472 987339 1206708 1316452 1407826 1608944 1974678 2111739 2303791 2413416 2632904 2815652 3949356 4223478 4607582 4826832 5265808 5631304 6911373 7898712 8446956 9215164 11262608 13822746 15797424 16893912 18430328 27645492 33787824 36860656 39921923 55290984 79843846 83363411 110581968 119765769 159687692 166726822 239531538 250090233 279453461 319375384 333453644 479063076 500180466 558906922 583543877 638750768 666907288 838360383 958126152 1000360932 1117813844 1167087754 1333814576 1676720766 1750631631 1916252304 2000721864 2235627688 2334175508 3353441532 3501263262 4001443728 4471255376 4668351016 6706883064 7002526524 9336702032 13413766128 14005053048 28010106096 33095274167 66190548334 99285822501 132381096668 198571645002 231666919169 264762193336 397143290004 463333838338 529524386672 695000757507 794286580008 926667676676 1390001515014 1588573160016 1853335353352 2780003030028 3706670706704 5560006060056 11120012120112