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12122121021021 = 33111734735919273
BaseRepresentation
bin1011000001100110011010…
…1101111010011001011101
31120220212022110022202011000
42300121212231322121131
53042102100440133041
641440454151220513
72360536313402454
oct260314655723135
946825273282130
1012122121021021
113953a65325460
121439421977739
1369c15a144b7b
142dc9dc8c3b9b
151604ce1e1bb6
hexb0666b7a65d

12122121021021 has 128 divisors (see below), whose sum is σ = 20862547660800. Its totient is φ = 6875090196480.

The previous prime is 12122121021019. The next prime is 12122121021037. The reversal of 12122121021021 is 12012012122121.

12122121021021 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 210 + 210 + 21 = 666.

It is not a de Polignac number, because 12122121021021 - 21 = 12122121021019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122121020985 and 12122121021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122121021011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 628959441 + ... + 628978713.

It is an arithmetic number, because the mean of its divisors is an integer number (162988653600).

Almost surely, 212122121021021 is an apocalyptic number.

12122121021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122121021021 is a deficient number, since it is larger than the sum of its proper divisors (8740426639779).

12122121021021 is a wasteful number, since it uses less digits than its factorization.

12122121021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20016 (or 20010 counting only the distinct ones).

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

Adding to 12122121021021 its reverse (12012012122121), we get a palindrome (24134133143142).

The spelling of 12122121021021 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 347 359 459 561 1041 1077 1683 3123 3231 3817 3949 5049 5899 6103 9369 9693 11451 11847 17697 18309 19273 34353 35541 53091 54927 57819 64889 67133 103059 106623 124573 159273 164781 173457 194667 201399 212003 327641 373719 520371 584001 604197 636009 982923 1121157 1370303 1752003 1812591 1908027 2117741 2948769 3363471 3604051 4110909 5724081 6353223 6687731 6919007 8846307 10812153 12332727 19059669 20063193 20757021 23295151 32436459 36998181 57179007 60189579 62271063 69885453 73565041 76109077 97309377 113691427 117623119 180568737 186813189 209656359 220695123 228327231 341074281 352869357 628969077 662085369 684981693 1023222843 1058608071 1250605697 1293854309 1986256107 2054945079 2400895429 3069668529 3175824213 3751817091 3881562927 7202686287 11255451273 11644688781 21608058861 26409849719 33766353819 34934066343 40815222293 64824176583 79229549157 122445666879 237688647471 367337000637 448967445223 713065942413 1102011001911 1346902335669 4040707007007 12122121021021