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12334631712 = 2531329340811
BaseRepresentation
bin10110111110011001…
…11000101100100000
31011211121210012202120
423133030320230200
5200230131203322
65355541544240
7614443432254
oct133714705440
934747705676
1012334631712
11525a63a407
122482a15080
131217599860
14850248264
154c2d20a5c
hex2df338b20

12334631712 has 96 divisors (see below), whose sum is σ = 36071542080. Its totient is φ = 3664389120.

The previous prime is 12334631689. The next prime is 12334631719. The reversal of 12334631712 is 21713643321.

It is a happy number.

12334631712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12334631719) 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 15 ways as a sum of consecutive naturals, for example, 134214 + ... + 206597.

It is an arithmetic number, because the mean of its divisors is an integer number (375745230).

Almost surely, 212334631712 is an apocalyptic number.

12334631712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12334631712 is an abundant number, since it is smaller than the sum of its proper divisors (23736910368).

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

12334631712 is a wasteful number, since it uses less digits than its factorization.

12334631712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340866 (or 340858 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The spelling of 12334631712 in words is "twelve billion, three hundred thirty-four million, six hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 340811 681622 1022433 1363244 2044866 2726488 4089732 4430543 5452976 8179464 8861086 9883519 10905952 13291629 16358928 17722172 19767038 26583258 29650557 32717856 35444344 39534076 53166516 59301114 70888688 79068152 106333032 118602228 128485747 141777376 158136304 212666064 237204456 256971494 316272608 385457241 425332128 474408912 513942988 770914482 948817824 1027885976 1541828964 2055771952 3083657928 4111543904 6167315856 12334631712