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11120001101112 = 23319238269128221
BaseRepresentation
bin1010000111010001001110…
…1101110010110100111000
31110101001122222220020020210
42201310103231302310320
52424142230240213422
635352242531351120
72225251664543061
oct241642355626470
943331588806223
1011120001101112
1135a7a697a6342
1212b7169a524a0
136287c4905667
142a62d4ac7568
151443cb7cb10c
hexa1d13b72d38

11120001101112 has 128 divisors (see below), whose sum is σ = 30539403072000. Its totient is φ = 3358469537280.

The previous prime is 11120001101101. The next prime is 11120001101177. The reversal of 11120001101112 is 21110110002111.

11120001101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 86661162 + ... + 86789382.

It is an arithmetic number, because the mean of its divisors is an integer number (238589086500).

Almost surely, 211120001101112 is an apocalyptic number.

11120001101112 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 11120001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269701536000).

11120001101112 is an abundant number, since it is smaller than the sum of its proper divisors (19419401970888).

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

11120001101112 is a wasteful number, since it uses less digits than its factorization.

11120001101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136541 (or 136537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11120001101112 its reverse (21110110002111), we get a palindrome (32230111103223).

The spelling of 11120001101112 in words is "eleven trillion, one hundred twenty billion, one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 8269 10488 16538 24807 33076 49614 66152 99228 128221 157111 190187 198456 256442 314222 380374 384663 471333 512884 570561 628444 760748 769326 942666 1025768 1141122 1256888 1521496 1538652 1885332 2282244 2436199 2949083 3077304 3613553 3770664 4564488 4872398 5898166 7227106 7308597 8847249 9744796 10840659 11796332 14454212 14617194 17694498 19489592 21681318 23592664 28908424 29234388 35388996 43362636 56032577 58468776 70777992 86725272 112065154 168097731 224130308 336195462 448260616 672390924 1060259449 1344781848 2120518898 3180778347 4241037796 6361556694 8482075592 12723113388 20144929531 24385967327 25446226776 40289859062 48771934654 60434788593 73157901981 80579718124 97543869308 120869577186 146315803962 161159436248 195087738616 241739154372 292631607924 463333379213 483478308744 585263215848 926666758426 1390000137639 1853333516852 2780000275278 3706667033704 5560000550556 11120001101112