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12660263712 = 25344884361
BaseRepresentation
bin10111100101001110…
…00100101100100000
31012200022112000220000
423302213010230200
5201412011414322
65452133220000
7625506315555
oct136247045440
935608460800
1012660263712
115407430568
122553a91600
131269ba0405
148815b0a2c
154e16e43ac
hex2f29c4b20

12660263712 has 60 divisors (see below), whose sum is σ = 37233491526. Its totient is φ = 4220087040.

The previous prime is 12660263699. The next prime is 12660263717. The reversal of 12660263712 is 21736206621.

12660263712 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 0 + 2 + 637 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8821717776 + 3838545936 = 93924^2 + 61956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12660263717) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2439589 + ... + 2444772.

Almost surely, 212660263712 is an apocalyptic number.

12660263712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12660263712 is an abundant number, since it is smaller than the sum of its proper divisors (24573227814).

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

12660263712 is an equidigital number, since it uses as much as digits as its factorization.

12660263712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884383 (or 4884366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12660263712 in words is "twelve billion, six hundred sixty million, two hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4884361 9768722 14653083 19537444 29306166 39074888 43959249 58612332 78149776 87918498 117224664 131877747 156299552 175836996 234449328 263755494 351673992 395633241 468898656 527510988 703347984 791266482 1055021976 1406695968 1582532964 2110043952 3165065928 4220087904 6330131856 12660263712