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12312104341104 = 2432476832663491
BaseRepresentation
bin1011001100101010001010…
…0110110000111001110000
31121121000200201110100222100
42303022202212300321300
53103210142202403404
642104034101140400
72410343265104151
oct263124246607160
947530621410870
1012312104341104
113a17596a19797
12146a2029ba700
136b40461866b9
14307ca253d928
151653ed0b0d39
hexb32a29b0e70

12312104341104 has 120 divisors (see below), whose sum is σ = 35241451045632. Its totient is φ = 4010832397440.

The previous prime is 12312104341099. The next prime is 12312104341169. The reversal of 12312104341104 is 40114340121321.

It is a happy number.

12312104341104 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 210 + 4 + 341 + 104 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3290799 + ... + 5954289.

Almost surely, 212312104341104 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 12312104341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620725522816).

12312104341104 is an abundant number, since it is smaller than the sum of its proper divisors (22929346704528).

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

12312104341104 is a wasteful number, since it uses less digits than its factorization.

12312104341104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664235 (or 2664226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12312104341104 its reverse (40114340121321), we get a palindrome (52426444462425).

The spelling of 12312104341104 in words is "twelve trillion, three hundred twelve billion, one hundred four million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 683 752 846 1128 1366 1692 2049 2256 2732 3384 4098 5464 6147 6768 8196 10928 12294 16392 24588 32101 32784 49176 64202 96303 98352 128404 192606 256808 288909 385212 513616 577818 770424 1155636 1540848 2311272 2663491 4622544 5326982 7990473 10653964 15980946 21307928 23971419 31961892 42615856 47942838 63923784 95885676 125184077 127847568 191771352 250368154 375552231 383542704 500736308 751104462 1001472616 1126656693 1502208924 1819164353 2002945232 2253313386 3004417848 3638328706 4506626772 5457493059 6008835696 7276657412 9013253544 10914986118 14553314824 16372479177 18026507088 21829972236 29106629648 32744958354 43659944472 65489916708 85500724591 87319888944 130979833416 171001449182 256502173773 261959666832 342002898364 513004347546 684005796728 769506521319 1026008695092 1368011593456 1539013042638 2052017390184 3078026085276 4104034780368 6156052170552 12312104341104