Search a number
-
+
12101101120012 = 221947223130111677
BaseRepresentation
bin1011000000011000000111…
…0101010110101000001100
31120211212001112200010201211
42300012001311112220030
53041231023341320022
641423100305544204
72356163365240312
oct260060165265014
946755045603654
1012101101120012
11394605911a743
121435336345064
1369a18a382a18
142db9a6d900b2
1515eb9db62e77
hexb0181d56a0c

12101101120012 has 96 divisors (see below), whose sum is σ = 22887415111680. Its totient is φ = 5580212601600.

The previous prime is 12101101120001. The next prime is 12101101120013. The reversal of 12101101120012 is 21002110110121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12101101119974 and 12101101120001.

It is not an unprimeable number, because it can be changed into a prime (12101101120013) 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 31 ways as a sum of consecutive naturals, for example, 1036313518 + ... + 1036325194.

It is an arithmetic number, because the mean of its divisors is an integer number (238410574080).

Almost surely, 212101101120012 is an apocalyptic number.

It is an amenable number.

12101101120012 is a deficient number, since it is larger than the sum of its proper divisors (10786313991668).

12101101120012 is a wasteful number, since it uses less digits than its factorization.

12101101120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101101120012 its reverse (21002110110121), we get a palindrome (33103211230133).

The spelling of 12101101120012 in words is "twelve trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 19 38 47 76 94 188 223 446 892 893 1301 1786 2602 3572 4237 5204 8474 10481 11677 16948 20962 23354 24719 41924 46708 49438 61147 98876 122294 199139 221863 244588 290123 398278 443726 548819 580246 796556 887452 1097638 1160492 1161793 2195276 2323586 2603971 4647172 5207942 5512337 10415884 10427561 11024674 13635781 15191777 20855122 22049348 27271562 30383554 41710244 49475449 54543124 60767108 98950898 122386637 197901796 244773274 259079839 288643763 489546548 518159678 577287526 714013519 1036319356 1154575052 1428027038 2325346103 2856054076 3387766271 4650692206 6775532542 9301384412 13551065084 13566256861 27132513722 54265027444 64367559149 128735118298 159225014737 257470236596 318450029474 636900058948 3025275280003 6050550560006 12101101120012