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111221201120112 = 243229165531608979
BaseRepresentation
bin11001010010011110110100…
…001011110010101101110000
3112120210122100201220101101100
4121102132310023302231300
5104034222004441320422
61032314151530004400
732266316022001446
oct3122366413625560
9476718321811340
10111221201120112
1132490712557656
12105834b7276700
134a0a16405b045
141d671c6092b96
15ccd1ba8267ac
hex6527b42f2b70

111221201120112 has 120 divisors (see below), whose sum is σ = 322017813982800. Its totient is φ = 35793144382464.

The previous prime is 111221201120077. The next prime is 111221201120143. The reversal of 111221201120112 is 211021102122111.

It is a happy number.

111221201120112 is a `hidden beast` number, since 1 + 11 + 221 + 201 + 120 + 112 = 666.

111221201120112 is digitally balanced in base 4, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68320839 + ... + 69929817.

It is an arithmetic number, because the mean of its divisors is an integer number (2683481783190).

Almost surely, 2111221201120112 is an apocalyptic number.

111221201120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111221201120112 is an abundant number, since it is smaller than the sum of its proper divisors (210796612862688).

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

111221201120112 is a wasteful number, since it uses less digits than its factorization.

111221201120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625575 (or 1625566 counting only the distinct ones).

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

Adding to 111221201120112 its reverse (211021102122111), we get a palindrome (322242303242223).

The spelling of 111221201120112 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 16553 33106 49659 66212 99318 132424 148977 198636 264848 297954 397272 480037 595908 794544 960074 1191816 1440111 1608979 1920148 2383632 2880222 3217958 3840296 4320333 4826937 5760444 6435916 7680592 8640666 9653874 11520888 12871832 14480811 17281332 19307748 23041776 25743664 28961622 34562664 38615496 46660391 57923244 69125328 77230992 93320782 115846488 139981173 186641564 231692976 279962346 373283128 419943519 559924692 746566256 839887038 1119849384 1679774076 2239698768 3359548152 6719096304 26633429387 53266858774 79900288161 106533717548 159800576322 213067435096 239700864483 319601152644 426134870192 479401728966 639202305288 772369452223 958803457932 1278404610576 1544738904446 1917606915864 2317108356669 3089477808892 3835213831728 4634216713338 6178955617784 6951325070007 9268433426676 12357911235568 13902650140014 18536866853352 27805300280028 37073733706704 55610600560056 111221201120112