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12001111020112 = 24311931039120661
BaseRepresentation
bin1010111010100011100111…
…1101011001001001010000
31120111021222001122202212111
42232220321331121021100
53033111233410120422
641305122335035104
72346023501354134
oct256507175311120
946437861582774
1012001111020112
113907708336745
121419a8b96ba94
1369091392b536
142d6bdd3893c4
1515c29a731a77
hexaea39f59250

12001111020112 has 80 divisors (see below), whose sum is σ = 24150006999040. Its totient is φ = 5771293286400.

The previous prime is 12001111020103. The next prime is 12001111020163. The reversal of 12001111020112 is 21102011110021.

It is a happy number.

12001111020112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12001111020092 and 12001111020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99401062 + ... + 99521722.

It is an arithmetic number, because the mean of its divisors is an integer number (301875087488).

Almost surely, 212001111020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001111020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075003499520).

12001111020112 is an abundant number, since it is smaller than the sum of its proper divisors (12148895978928).

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

12001111020112 is a wasteful number, since it uses less digits than its factorization.

12001111020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121932 (or 121926 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12001111020112 its reverse (21102011110021), we get a palindrome (33103122130133).

The spelling of 12001111020112 in words is "twelve trillion, one billion, one hundred eleven million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 193 248 386 496 772 1039 1544 2078 3088 4156 5983 8312 11966 16624 23932 32209 47864 64418 95728 120661 128836 200527 241322 257672 401054 482644 515344 802108 965288 1604216 1930576 3208432 3740491 6216337 7480982 12432674 14961964 23287573 24865348 29923928 46575146 49730696 59847856 93150292 99461392 125366779 186300584 250733558 372601168 501467116 721914763 1002934232 1443829526 2005868464 2887659052 3886370149 5775318104 7772740298 11550636208 15545480596 24195788347 31090961192 48391576694 62181922384 96783153388 193566306776 387132613552 750069438757 1500138877514 3000277755028 6000555510056 12001111020112