Search a number
-
+
12221211112012 = 2272927112757557
BaseRepresentation
bin1011000111010111100011…
…1100100111001001001100
31121021100002012210220220001
42301311320330213021030
53100213020021041022
641554202531534044
72400645001312150
oct261657074471114
947240065726801
1012221211112012
113991a94080441
121454676a5a324
136a85bc29b8c6
1430371cb69060
15162d7d5e3b27
hexb1d78f2724c

12221211112012 has 144 divisors (see below), whose sum is σ = 25873450057728. Its totient is φ = 4946482356480.

The previous prime is 12221211112009. The next prime is 12221211112037. The reversal of 12221211112012 is 21021111212221.

It is a happy number.

It is a super-2 number, since 2×122212111120122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212303538 + ... + 212361094.

It is an arithmetic number, because the mean of its divisors is an integer number (179676736512).

Almost surely, 212221211112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221211112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936725028864).

12221211112012 is an abundant number, since it is smaller than the sum of its proper divisors (13652238945716).

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

12221211112012 is a wasteful number, since it uses less digits than its factorization.

12221211112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57824 (or 57793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12221211112012 its reverse (21021111212221), we get a palindrome (33242322324233).

The spelling of 12221211112012 in words is "twelve trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 71 116 127 142 203 254 284 406 497 508 812 841 889 994 1682 1778 1988 2059 3364 3556 3683 4118 5887 7366 8236 9017 11774 14413 14732 18034 23548 25781 28826 36068 51562 57557 57652 59711 63119 103124 106807 115114 119422 126238 213614 230228 238844 252476 261493 402899 417977 427228 522986 747649 805798 835954 1045972 1495298 1611596 1669153 1671908 1830451 2990596 3338306 3660902 4086547 6676612 7309739 7321804 7583297 8173094 11684071 14619478 15166594 16346188 23368142 28605829 29238956 30333188 46736284 48405437 51168173 53083079 57211658 96810874 102336346 106166158 114423316 118509863 193621748 204672692 211982431 212332316 237019726 338838059 423964862 474039452 518991469 677676118 829569041 847929724 1037982938 1355352236 1483877017 1659138082 2075965876 2967754034 3318276164 3436786027 3632940283 5935508068 6147490499 6873572054 7265880566 12294980998 13747144108 14531761132 15050752601 24057502189 24589961996 30101505202 43032433493 48115004378 60203010404 86064866986 96230008756 105355268207 172129733972 210710536414 421421072828 436471825429 872943650858 1745887301716 3055302778003 6110605556006 12221211112012