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12233201323112 = 2371153853439273
BaseRepresentation
bin1011001000000100001110…
…0111101000110001101000
31121022111000211111202101122
42302001003213220301220
53100412044014314422
642003504411434412
72401551063365630
oct262010347506150
947274024452348
1012233201323112
113997087256510
121456a62455a08
136a97803b6983
143041393596c0
1516333107dd42
hexb20439e8c68

12233201323112 has 128 divisors (see below), whose sum is σ = 29170886088960. Its totient is φ = 4670761605120.

The previous prime is 12233201323081. The next prime is 12233201323153. The reversal of 12233201323112 is 21132310233221.

It is a super-2 number, since 2×122332013231122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27629108 + ... + 28068380.

It is an arithmetic number, because the mean of its divisors is an integer number (227897547570).

Almost surely, 212233201323112 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 12233201323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585443044480).

12233201323112 is an abundant number, since it is smaller than the sum of its proper divisors (16937684765848).

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

12233201323112 is a wasteful number, since it uses less digits than its factorization.

12233201323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440203 (or 440199 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12233201323112 its reverse (21132310233221), we get a palindrome (33365511556333).

The spelling of 12233201323112 in words is "twelve trillion, two hundred thirty-three billion, two hundred one million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 154 212 308 371 424 583 616 742 853 1166 1484 1706 2332 2968 3412 4081 4664 5971 6824 8162 9383 11942 16324 18766 23884 32648 37532 45209 47768 65681 75064 90418 131362 180836 262724 316463 361672 439273 497299 525448 632926 878546 994598 1265852 1757092 1989196 2531704 3074911 3481093 3514184 3978392 4832003 6149822 6962186 9664006 12299644 13924372 19328012 23281469 24599288 27848744 33824021 38656024 46562938 67648042 93125876 135296084 162970283 186251752 256096159 270592168 325940566 374699869 512192318 651881132 749399738 1024384636 1303762264 1498799476 1792673113 2048769272 2622899083 2997598952 3585346226 4121698559 5245798166 7170692452 8243397118 10491596332 14341384904 16486794236 19859093057 20983192664 28851889913 32973588472 39718186114 57703779826 79436372228 115407559652 139013651399 158872744456 218450023627 230815119304 278027302798 436900047254 556054605596 873800094508 1112109211192 1529150165389 1747600189016 3058300330778 6116600661556 12233201323112