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12110122111104 = 27341168028753
BaseRepresentation
bin1011000000111001101110…
…0001101101000010000000
31120212201100020020222010000
42300032123201231002000
53041403012230023404
641431151401040000
72356633054346013
oct260163341550200
946781306228100
1012110122111104
113949968248886
121437033486000
1369ac972a2584
142dc1c10ab37a
1516002aad9339
hexb039b86d080

12110122111104 has 80 divisors (see below), whose sum is σ = 36039527204670. Its totient is φ = 4036707366912.

The previous prime is 12110122111093. The next prime is 12110122111151. The reversal of 12110122111104 is 40111122101121.

It can be written as a sum of positive squares in only one way, i.e., 11033823758400 + 1076298352704 = 3321720^2 + 1037448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 584004009 + ... + 584024744.

Almost surely, 212110122111104 is an apocalyptic number.

It is an amenable number.

12110122111104 is an abundant number, since it is smaller than the sum of its proper divisors (23929405093566).

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

12110122111104 is an equidigital number, since it uses as much as digits as its factorization.

12110122111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168028779 (or 1168028758 counting only the distinct ones).

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

Adding to 12110122111104 its reverse (40111122101121), we get a palindrome (52221244212225).

The spelling of 12110122111104 in words is "twelve trillion, one hundred ten billion, one hundred twenty-two million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 1168028753 2336057506 3504086259 4672115012 7008172518 9344230024 10512258777 14016345036 18688460048 21024517554 28032690072 31536776331 37376920096 42049035108 56065380144 63073552662 74753840192 84098070216 94610328993 112130760288 126147105324 149507680384 168196140432 189220657986 224261520576 252294210648 336392280864 378441315972 448523041152 504588421296 672784561728 756882631944 1009176842592 1345569123456 1513765263888 2018353685184 3027530527776 4036707370368 6055061055552 12110122111104