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11201212111122 = 232111732009103963
BaseRepresentation
bin1010001011111111110001…
…0001001101100100010010
31110122211021201201222200100
42202333330101031210102
52432010040300023442
635453433225233230
72234155323000105
oct242777421154422
943584251658610
1011201212111122
113629453249140
12130aa53332816
136333678b8137
142aa1da61a73c
1514658125c84c
hexa2ffc44d912

11201212111122 has 96 divisors (see below), whose sum is σ = 28034125479360. Its totient is φ = 3194511068160.

The previous prime is 11201212111121. The next prime is 11201212111151. The reversal of 11201212111122 is 22111121210211.

It is a happy number.

11201212111122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11201212111095 and 11201212111104.

It is not an unprimeable number, because it can be changed into a prime (11201212111121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107690313 + ... + 107794275.

It is an arithmetic number, because the mean of its divisors is an integer number (292022140410).

Almost surely, 211201212111122 is an apocalyptic number.

11201212111122 is an abundant number, since it is smaller than the sum of its proper divisors (16832913368238).

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

11201212111122 is a wasteful number, since it uses less digits than its factorization.

11201212111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136008 (or 136005 counting only the distinct ones).

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

Adding to 11201212111122 its reverse (22111121210211), we get a palindrome (33312333321333).

The spelling of 11201212111122 in words is "eleven trillion, two hundred one billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 32009 64018 96027 103963 192054 207926 288081 311889 352099 544153 576162 623778 704198 935667 1056297 1088306 1143593 1632459 1767371 1871334 2112594 2287186 3168891 3264918 3430779 3534742 4897377 5302113 5985683 6337782 6861558 9794754 10292337 10604226 11971366 15906339 17957049 19441081 20584674 31812678 35914098 38882162 53871147 58323243 107742294 116646486 174969729 349939458 3327751667 6655503334 9983255001 19966510002 29949765003 36605268337 56571778339 59899530006 73210536674 109815805011 113143556678 169715335017 219631610022 329447415033 339430670034 509146005051 622289561729 658894830066 1018292010102 1244579123458 1866868685187 3733737370374 5600606055561 11201212111122