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12285768071236 = 22112107214892
BaseRepresentation
bin1011001011001000000011…
…0101110111100001000100
31121111111201022010020111211
42302302000311313201010
53102242223111234421
642044000503341204
72405421533361232
oct262620065674104
947444638106454
1012285768071236
113a07401872400
121465092a51804
136b1709b5646a
143068c4913952
151648aae369e1
hexb2c80d77844

12285768071236 has 81 divisors (see below), whose sum is σ = 23871293701437. Its totient is φ = 5528533591680.

The previous prime is 12285768071221. The next prime is 12285768071303. The reversal of 12285768071236 is 63217086758221.

The square root of 12285768071236 is 3505106.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2630579072836 + 9655188998400 = 1621906^2 + 3107280^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 8251018780 + ... + 8251020268.

Almost surely, 212285768071236 is an apocalyptic number.

12285768071236 is the 3505106-th square number.

It is an amenable number.

12285768071236 is a deficient number, since it is larger than the sum of its proper divisors (11585525630201).

12285768071236 is an equidigital number, since it uses as much as digits as its factorization.

12285768071236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 12285768071236 in words is "twelve trillion, two hundred eighty-five billion, seven hundred sixty-eight million, seventy-one thousand, two hundred thirty-six".

Divisors: 1 2 4 11 22 44 107 121 214 242 428 484 1177 1489 2354 2978 4708 5956 11449 12947 16379 22898 25894 32758 45796 51788 65516 125939 159323 180169 251878 318646 360338 503756 637292 720676 1385329 1752553 2217121 2770658 3505106 4434242 5541316 7010212 8868484 17047561 19278083 24388331 34095122 38556166 48776662 68190244 77112332 97553324 187523171 237231947 268271641 375046342 474463894 536543282 750092684 948927788 1073086564 2062754881 2609551417 4125509762 5219102834 8251019524 10438205668 25383818329 28705065587 50767636658 57410131174 101535273316 114820262348 279222001619 558444003238 1116888006476 3071442017809 6142884035618 12285768071236