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12201212101122 = 234116846920371
BaseRepresentation
bin1011000110001101000011…
…1010011100001000000010
31121012102110110010220110000
42301203100322130020002
53044401040244213442
641541054235420430
72366336260445022
oct261432072341002
947172413126400
1012201212101122
113984561167570
1214508152b4716
136a6752b7c255
14302782a5da82
151625ac9c0d4c
hexb18d0e9c202

12201212101122 has 40 divisors (see below), whose sum is σ = 29825185140432. Its totient is φ = 3697336999800.

The previous prime is 12201212101093. The next prime is 12201212101129. The reversal of 12201212101122 is 22110121210221.

12201212101122 is a `hidden beast` number, since 1 + 220 + 121 + 210 + 112 + 2 = 666.

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 = 12201212101095 and 12201212101104.

It is not an unprimeable number, because it can be changed into a prime (12201212101129) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3423458404 + ... + 3423461967.

Almost surely, 212201212101122 is an apocalyptic number.

12201212101122 is an abundant number, since it is smaller than the sum of its proper divisors (17623973039310).

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

12201212101122 is a wasteful number, since it uses less digits than its factorization.

12201212101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846920396 (or 6846920387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201212101122 its reverse (22110121210221), we get a palindrome (34311333311343).

The spelling of 12201212101122 in words is "twelve trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 6846920371 13693840742 20540761113 41081522226 61622283339 75316124081 123244566678 150632248162 184866850017 225948372243 369733700034 451896744486 554600550051 677845116729 1109201100102 1355690233458 2033535350187 4067070700374 6100606050561 12201212101122