Search a number
-
+
111211220121122 = 211194127134968611
BaseRepresentation
bin11001010010010101100001…
…010001010011011000100010
3112120202200121010220002202002
4121102111201101103120202
5104034041034322333442
61032305421302324002
732265513464625152
oct3122254121233042
9476680533802662
10111211220121122
1132487460540360
1210581590729602
134a09233294394
141d6691a678762
15ccccd446d732
hex652561453622

111211220121122 has 128 divisors (see below), whose sum is σ = 197523518976000. Its totient is φ = 46415488320000.

The previous prime is 111211220121101. The next prime is 111211220121137. The reversal of 111211220121122 is 221121022112111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111211220121094 and 111211220121103.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1620860597 + ... + 1620929207.

It is an arithmetic number, because the mean of its divisors is an integer number (1543152492000).

Almost surely, 2111211220121122 is an apocalyptic number.

111211220121122 is a deficient number, since it is larger than the sum of its proper divisors (86312298854878).

111211220121122 is a wasteful number, since it uses less digits than its factorization.

111211220121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69304.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 111211220121122 its reverse (221121022112111), we get a palindrome (332332242233233).

The spelling of 111211220121122 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 41 82 209 271 349 418 451 542 698 779 902 1558 2981 3839 5149 5962 6631 7678 8569 10298 11111 13262 14309 17138 22222 28618 56639 68611 72941 94579 113278 122221 137222 145882 157399 189158 211109 244442 271871 314798 422218 543742 754721 1040369 1303609 1509442 1797001 2080738 2322199 2607218 2813051 2990581 3594002 3877739 4644398 5626102 5981162 7755478 14339699 18593581 19767011 23945239 28679398 30943561 37187162 39534022 42655129 47890478 53447969 61887122 73677041 85310258 106895938 147354082 204529391 263397629 353278039 409058782 454959541 526795258 587927659 706556078 762336821 810447451 909919082 981754799 1175855318 1524673642 1620894902 1963509598 3886058429 5004554951 6489159769 7772116858 8385705031 10009109902 10799302789 12978319538 14484399599 16771410062 18653341181 21598605578 28968799198 37306682362 71380757459 123294035611 142761514918 159328395589 205186752991 246588071222 266055550529 318656791178 410373505982 532111101058 1356234391721 2712468783442 2926611055819 5055055460051 5853222111638 10110110920102 55605610060561 111211220121122