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12009712 = 24111329181
BaseRepresentation
bin101101110100…
…000011110000
3211121011020011
4231310003300
511033302322
61105224304
7204036511
oct55640360
924534204
1012009712
116863090
124032094
132646550
141848a08
1510c3677
hexb740f0

12009712 has 80 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 4838400.

The previous prime is 12009707. The next prime is 12009727. The reversal of 12009712 is 21790021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66262 + ... + 66442.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 212009712 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 12009712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

12009712 is an abundant number, since it is smaller than the sum of its proper divisors (16425968).

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

12009712 is a wasteful number, since it uses less digits than its factorization.

12009712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 12009712 is about 3465.5031380739. The cubic root of 12009712 is about 229.0045955486.

Adding to 12009712 its reverse (21790021), we get a palindrome (33799733).

It can be divided in two parts, 12009 and 712, that added together give a palindrome (12721).

The spelling of 12009712 in words is "twelve million, nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 181 208 232 286 319 362 377 464 572 638 724 754 1144 1276 1448 1508 1991 2288 2353 2552 2896 3016 3982 4147 4706 5104 5249 6032 7964 8294 9412 10498 15928 16588 18824 20996 25883 31856 33176 37648 41992 51766 57739 66352 68237 83984 103532 115478 136474 207064 230956 272948 414128 461912 545896 750607 923824 1091792 1501214 3002428 6004856 12009712