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11110122212112 = 2433711333998383
BaseRepresentation
bin1010000110101100011011…
…1000110100101100010000
31110100010011112000200012000
42201223012320310230100
52424012012241241422
635343530352434000
72224452120430320
oct241530670645420
943303145020160
1011110122212112
1135a385a391870
1212b5271548900
136278ac040a01
142a5a38a8d280
15143eee392cac
hexa1ac6e34b10

11110122212112 has 160 divisors (see below), whose sum is σ = 39759167631360. Its totient is φ = 2885746020480.

The previous prime is 11110122212071. The next prime is 11110122212143. The reversal of 11110122212112 is 21121222101111.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166965928 + ... + 167032455.

It is an arithmetic number, because the mean of its divisors is an integer number (248494797696).

Almost surely, 211110122212112 is an apocalyptic number.

11110122212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11110122212112 is an abundant number, since it is smaller than the sum of its proper divisors (28649045419248).

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

11110122212112 is a wasteful number, since it uses less digits than its factorization.

11110122212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333998418 (or 333998406 counting only the distinct ones).

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

Adding to 11110122212112 its reverse (21121222101111), we get a palindrome (32231344313223).

The spelling of 11110122212112 in words is "eleven trillion, one hundred ten billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 333998383 667996766 1001995149 1335993532 2003990298 2337988681 2671987064 3005985447 3673982213 4007980596 4675977362 5343974128 6011970894 7013966043 7347964426 8015961192 9017956341 9351954724 11021946639 12023941788 14027932086 14695928852 16031922384 18035912682 18703909448 21041898129 22043893278 24047883576 25717875491 28055864172 29391857704 33065839917 36071825364 37407818896 42083796258 44087786556 48095767152 51435750982 56111728344 58783715408 63125694387 66131679834 72143650728 77153626473 84167592516 88175573112 99197519751 102871501964 112223456688 126251388774 132263359668 144287301456 154307252946 168335185032 176351146224 198395039502 205743003928 231460879419 252502777548 264526719336 308614505892 336670370064 396790079004 411486007856 462921758838 505005555096 529053438672 617229011784 694382638257 793580158008 925843517676 1010011110192 1234458023568 1388765276514 1587160316016 1851687035352 2777530553028 3703374070704 5555061106056 11110122212112