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12101211121122 = 23497770091073
BaseRepresentation
bin1011000000011000100001…
…1000111110010111100010
31120211212100012122202220000
42300012020120332113202
53041231240021333442
641423115235400430
72356166202235254
oct260061030762742
946755305582800
1012101211121122
113946105222152
121435367153116
1369a1a70b8736
142db9b7825cd4
1515eba8640d4c
hexb018863e5e2

12101211121122 has 40 divisors (see below), whose sum is σ = 27395219866476. Its totient is φ = 3992152117248.

The previous prime is 12101211121121. The next prime is 12101211121127. The reversal of 12101211121122 is 22112111210121.

It is a happy number.

12101211121122 is a `hidden beast` number, since 1 + 210 + 1 + 211 + 121 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10261637017641 + 1839574103481 = 3203379^2 + 1356309^2 .

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 = 12101211121095 and 12101211121104.

It is not an unprimeable number, because it can be changed into a prime (12101211121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385029823 + ... + 385061250.

Almost surely, 212101211121122 is an apocalyptic number.

12101211121122 is an abundant number, since it is smaller than the sum of its proper divisors (15294008745354).

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

12101211121122 is an equidigital number, since it uses as much as digits as its factorization.

12101211121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770091184 (or 770091175 counting only the distinct ones).

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

Adding to 12101211121122 its reverse (22112111210121), we get a palindrome (34213322331243).

The spelling of 12101211121122 in words is "twelve trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 15714 770091073 1540182146 2310273219 4620546438 6930819657 13861639314 20792458971 41584917942 62377376913 74698834081 124754753826 149397668162 224096502243 448193004486 672289506729 1344579013458 2016868520187 4033737040374 6050605560561 12101211121122