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12212101201101 = 319232291932692
BaseRepresentation
bin1011000110110101100111…
…1101000011110011001101
31121020110120022220111110020
42301231121331003303031
53100040340401413401
641550054542532353
72400203152330134
oct261553175036315
947213508814406
1012212101201101
11398913983954a
121452953b970b9
136a7799b17989
143030d6d0291b
151629e8955d36
hexb1b59f43ccd

12212101201101 has 144 divisors (see below), whose sum is σ = 18700797460800. Its totient is φ = 7059913039872.

The previous prime is 12212101201087. The next prime is 12212101201121. The reversal of 12212101201101 is 10110210121221.

It is a happy number.

It is not a de Polignac number, because 12212101201101 - 213 = 12212101192909 is a prime.

It is a super-2 number, since 2×122121012011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212101201121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45398145595 + ... + 45398145863.

Almost surely, 212212101201101 is an apocalyptic number.

It is an amenable number.

12212101201101 is a deficient number, since it is larger than the sum of its proper divisors (6488696259699).

12212101201101 is a wasteful number, since it uses less digits than its factorization.

12212101201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12212101201101 its reverse (10110210121221), we get a palindrome (22322311322322).

The spelling of 12212101201101 in words is "twelve trillion, two hundred twelve billion, one hundred one million, two hundred one thousand, one hundred one".

Divisors: 1 3 19 23 29 57 69 87 193 269 437 529 551 579 667 807 1311 1587 1653 2001 3667 4439 5111 5597 6187 7801 10051 11001 12673 13317 15333 15341 16791 18561 23403 30153 38019 46023 51917 72361 84341 102097 106343 117553 128731 142301 148219 155751 179423 217083 253023 291479 306291 319029 352659 386193 426903 444657 538269 874437 986423 1194091 1374859 1505593 1664303 1939843 2098469 2445889 2703719 2959269 2960813 3409037 3582273 4124577 4126729 4516779 4992909 5819529 6295407 7337667 8111157 8882439 10227111 12380187 13965673 22687729 27464093 28606267 31621757 34628639 38278969 39870911 41897019 48264787 56255447 68063187 78407851 82392279 85818801 94865271 103885917 114836907 119612733 144794361 168766341 235223553 265347787 321210479 405004517 521817767 657944141 727300411 796043361 796458697 917030953 963631437 1110090101 1215013551 1565453301 1973832423 2181901233 2389376091 2751092859 3330270303 6102999101 7387841017 7695085823 9315103891 15132715243 18308997303 21091711919 22163523051 23085257469 27945311673 45398145729 63275135757 140368979323 176986973929 214247389493 421106937969 530960921787 642742168479 4070700400367 12212101201101