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12002110211112 = 2337234637669859
BaseRepresentation
bin1010111010100111010110…
…0001000000010000101000
31120111101112200210221020120
42232221311201000100220
53033120310203223422
641305405431123240
72346060323345340
oct256516541002050
946441480727216
1012002110211112
11390808035772a
12141a10a513520
13690a42944408
142d6c95d65d20
1515c30830345c
hexaea75840428

12002110211112 has 128 divisors (see below), whose sum is σ = 35790459033600. Its totient is φ = 3279367542528.

The previous prime is 12002110211111. The next prime is 12002110211123. The reversal of 12002110211112 is 21111201120021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12002110211091 and 12002110211100.

It is not an unprimeable number, because it can be changed into a prime (12002110211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17582439 + ... + 18252297.

It is an arithmetic number, because the mean of its divisors is an integer number (279612961200).

Almost surely, 212002110211112 is an apocalyptic number.

12002110211112 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 12002110211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895229516800).

12002110211112 is an abundant number, since it is smaller than the sum of its proper divisors (23788348822488).

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

12002110211112 is a wasteful number, since it uses less digits than its factorization.

12002110211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674535 (or 674531 counting only the distinct ones).

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

Adding to 12002110211112 its reverse (21111201120021), we get a palindrome (33113311331133).

The spelling of 12002110211112 in words is "twelve trillion, two billion, one hundred ten million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 4637 9274 13911 18548 27822 32459 37096 55644 64918 97377 106651 111288 129836 194754 213302 259672 319953 389508 426604 639906 669859 746557 779016 853208 1279812 1339718 1493114 2009577 2239671 2559624 2679436 2986228 4019154 4479342 4689013 5358872 5972456 8038308 8958684 9378026 14067039 15406757 16076616 17917368 18756052 28134078 30813514 37512104 46220271 56268156 61627028 92440542 107847299 112536312 123254056 184881084 215694598 323541897 369762168 431389196 647083794 862778392 1294167588 2588335176 3106136183 6212272366 9318408549 12424544732 18636817098 21742953281 24849089464 37273634196 43485906562 65228859843 71441132209 74547268392 86971813124 130457719686 142882264418 173943626248 214323396627 260915439372 285764528836 428646793254 500087925463 521830878744 571529057672 857293586508 1000175850926 1500263776389 1714587173016 2000351701852 3000527552778 4000703403704 6001055105556 12002110211112