Search a number
-
+
12011211201110 = 25112947508115767
BaseRepresentation
bin1010111011001001001111…
…1110100001101001010110
31120112021000221221010111012
42232302103332201221112
53033242430031413420
641313512501012222
72346532003444022
oct256622376415126
946467027833435
1012011211201110
113910a20656170
12141ba2a3b4072
136918632c39b4
142d74ba949382
1515c68c2ccdc5
hexaec93fa1a56

12011211201110 has 128 divisors (see below), whose sum is σ = 24924560855040. Its totient is φ = 4126302745600.

The previous prime is 12011211201091. The next prime is 12011211201127. The reversal of 12011211201110 is 1110211211021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761786447 + ... + 761802213.

It is an arithmetic number, because the mean of its divisors is an integer number (194723131680).

Almost surely, 212011211201110 is an apocalyptic number.

12011211201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011211201110 is an abundant number, since it is smaller than the sum of its proper divisors (12913349653930).

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

12011211201110 is a wasteful number, since it uses less digits than its factorization.

12011211201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20942.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12011211201110 its reverse (1110211211021), we get a palindrome (13121422412131).

The spelling of 12011211201110 in words is "twelve trillion, eleven billion, two hundred eleven million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 29 47 55 58 94 110 145 235 290 319 470 517 638 1034 1363 1595 2585 2726 3190 5081 5170 6815 10162 13630 14993 15767 25405 29986 31534 50810 55891 74965 78835 111782 147349 149930 157670 173437 238807 279455 294698 346874 457243 477614 558910 736745 741049 867185 914486 1194035 1473490 1482098 1620839 1734370 2286215 2388070 2626877 3241678 3705245 4572430 5029673 5253754 6925403 7410490 8104195 8151539 10059346 13134385 13850806 16208390 16303078 21490421 25148365 26268770 34627015 40757695 42980842 50296730 69254030 76179433 80112127 81515390 107452105 152358866 160224254 214904210 236394631 380897165 400560635 472789262 761794330 801121270 881233397 1181973155 1762466794 2323251683 2363946310 3765269969 4406166985 4646503366 7530539938 8812333970 11616258415 18826349845 23232516830 25555768513 37652699690 41417969659 51111537026 82835939318 109192829101 127778842565 207089848295 218385658202 255557685130 414179696590 545964145505 1091928291010 1201121120111 2402242240222 6005605600555 12011211201110