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12260064300 = 22352115962969
BaseRepresentation
bin10110110101100000…
…11011110000101100
31011122102110210111120
423122300123300230
5200102034024200
65344315420540
7612546553461
oct133260336054
934572423446
1012260064300
115221539850
122461a54750
131204cbc123
14844397668
154bb4e19a0
hex2dac1bc2c

12260064300 has 144 divisors (see below), whose sum is σ = 39353731200. Its totient is φ = 2921715200.

The previous prime is 12260064281. The next prime is 12260064343. The reversal of 12260064300 is 346006221.

12260064300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163216 + ... + 226184.

It is an arithmetic number, because the mean of its divisors is an integer number (273289800).

Almost surely, 212260064300 is an apocalyptic number.

12260064300 is a gapful number since it is divisible by the number (10) 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 12260064300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676865600).

12260064300 is an abundant number, since it is smaller than the sum of its proper divisors (27093666900).

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

12260064300 is a wasteful number, since it uses less digits than its factorization.

12260064300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63056 (or 63049 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 12260064300 in words is "twelve billion, two hundred sixty million, sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 59 60 66 75 100 110 118 132 150 165 177 220 236 275 295 300 330 354 550 590 649 660 708 825 885 1100 1180 1298 1475 1650 1770 1947 2596 2950 3245 3300 3540 3894 4425 5900 6490 7788 8850 9735 12980 16225 17700 19470 32450 38940 48675 62969 64900 97350 125938 188907 194700 251876 314845 377814 629690 692659 755628 944535 1259380 1385318 1574225 1889070 2077977 2770636 3148450 3463295 3715171 3778140 4155954 4722675 6296900 6926590 7430342 8311908 9445350 10389885 11145513 13853180 14860684 17316475 18575855 18890700 20779770 22291026 34632950 37151710 40866881 41559540 44582052 51949425 55727565 69265900 74303420 81733762 92879275 103898850 111455130 122600643 163467524 185758550 204334405 207797700 222910260 245201286 278637825 371517100 408668810 490402572 557275650 613003215 817337620 1021672025 1114551300 1226006430 2043344050 2452012860 3065016075 4086688100 6130032150 12260064300