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12124334002432 = 28863129142509
BaseRepresentation
bin1011000001101110101010…
…0111110001000100000000
31120221002000200102211221111
42300123222213301010000
53042121114001034212
641441501523133104
72360645204416351
oct260335247610400
946832020384844
1012124334002432
1139549a0511113
12143993ab14194
1369c420770122
142dcb6c77dd28
151605ad624ea7
hexb06ea9f1100

12124334002432 has 72 divisors (see below), whose sum is σ = 24248688871680. Its totient is φ = 6050309867520.

The previous prime is 12124334002409. The next prime is 12124334002433. The reversal of 12124334002432 is 23420043342121.

It is a junction number, because it is equal to n+sod(n) for n = 12124334002394 and 12124334002403.

It is not an unprimeable number, because it can be changed into a prime (12124334002433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285196794 + ... + 285239302.

It is an arithmetic number, because the mean of its divisors is an integer number (336787345440).

Almost surely, 212124334002432 is an apocalyptic number.

It is an amenable number.

12124334002432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12124334002432 is an equidigital number, since it uses as much as digits as its factorization.

12124334002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44679 (or 44665 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 12124334002432 its reverse (23420043342121), we get a palindrome (35544377344553).

The spelling of 12124334002432 in words is "twelve trillion, one hundred twenty-four billion, three hundred thirty-four million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 863 1291 1726 2582 3452 5164 6904 10328 13808 20656 27616 41312 42509 55232 82624 85018 110464 165248 170036 220928 330496 340072 680144 1114133 1360288 2228266 2720576 4456532 5441152 8913064 10882304 17826128 35652256 36685267 54879119 71304512 73370534 109758238 142609024 146741068 219516476 285218048 293482136 439032952 586964272 878065904 1173928544 1756131808 2347857088 3512263616 4695714176 7024527232 9391428352 14049054464 47360679697 94721359394 189442718788 378885437576 757770875152 1515541750304 3031083500608 6062167001216 12124334002432