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12247929810312 = 2337434973340931
BaseRepresentation
bin1011001000111011000110…
…0000010110110110001000
31121100220001021202102112120
42302032301200112312020
53101132230012412222
642014342110211240
72402612055433560
oct262166140266610
947326037672476
1012247929810312
1139a2355090989
121459892ab3b20
136aac898ca461
14304b354a3da0
151638e411015c
hexb23b1816d88

12247929810312 has 128 divisors (see below), whose sum is σ = 35815206620160. Its totient is φ = 3417329583360.

The previous prime is 12247929810253. The next prime is 12247929810323. The reversal of 12247929810312 is 21301892974221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35754487 + ... + 36095417.

It is an arithmetic number, because the mean of its divisors is an integer number (279806301720).

Almost surely, 212247929810312 is an apocalyptic number.

12247929810312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12247929810312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907603310080).

12247929810312 is an abundant number, since it is smaller than the sum of its proper divisors (23567276809848).

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

12247929810312 is a wasteful number, since it uses less digits than its factorization.

12247929810312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345963 (or 345959 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 12247929810312 in words is "twelve trillion, two hundred forty-seven billion, nine hundred twenty-nine million, eight hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 4973 7224 9946 14919 19892 29838 34811 39784 59676 69622 104433 119352 139244 208866 213839 278488 340931 417732 427678 641517 681862 835464 855356 1022793 1283034 1363724 1496873 1710712 2045586 2386517 2566068 2727448 2993746 4091172 4490619 4773034 5132136 5987492 7159551 8182344 8981238 9546068 11974984 14319102 14660033 17962476 19092136 28638204 29320066 35924952 43980099 57276408 58640132 87960198 102620231 117280264 175920396 205240462 307860693 351840792 410480924 615721386 820961848 1231442772 1695449863 2462885544 3390899726 5086349589 6781799452 10172699178 11868149041 13563598904 20345398356 23736298082 35604447123 40690796712 47472596164 71208894246 72904344109 94945192328 142417788492 145808688218 218713032327 284835576984 291617376436 437426064654 510330408763 583234752872 874852129308 1020660817526 1530991226289 1749704258616 2041321635052 3061982452578 4082643270104 6123964905156 12247929810312