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12260221144665 = 35131016538771087
BaseRepresentation
bin1011001001101000111000…
…1000000100111001011001
31121102001202220001220111020
42302122032020010321121
53101332413103112130
642024133504153053
72403525465155604
oct262321610047131
947361686056436
1012260221144665
1139a759223834a
121460143308789
136ac198217670
1430557da7b33b
15163db322be10
hexb268e204e59

12260221144665 has 128 divisors (see below), whose sum is σ = 21411180306432. Its totient is φ = 5954602291200.

The previous prime is 12260221144637. The next prime is 12260221144679. The reversal of 12260221144665 is 56644112206221.

It is not a de Polignac number, because 12260221144665 - 26 = 12260221144601 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 11278951752 + ... + 11278952838.

It is an arithmetic number, because the mean of its divisors is an integer number (167274846144).

Almost surely, 212260221144665 is an apocalyptic number.

12260221144665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12260221144665 is a deficient number, since it is larger than the sum of its proper divisors (9150959161767).

12260221144665 is a wasteful number, since it uses less digits than its factorization.

12260221144665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 12260221144665 in words is "twelve trillion, two hundred sixty billion, two hundred twenty-one million, one hundred forty-four thousand, six hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 101 195 303 505 653 877 1087 1313 1515 1959 2631 3261 3265 3939 4385 5435 6565 8489 9795 11401 13155 14131 16305 19695 25467 34203 42393 42445 57005 65953 70655 88577 109787 127335 171015 197859 211965 265731 329361 329765 442885 548935 572681 709811 857389 953299 989295 1151501 1328655 1427231 1646805 1718043 2129433 2572167 2859897 2863405 3454503 3549055 4281693 4286945 4766495 5757505 7136155 7444853 8590215 9227543 10647165 12392887 12860835 14299485 17272515 21408465 22334559 27682629 37178661 37224265 46137715 57840781 61964435 71690911 96283199 111672795 138413145 173522343 185893305 215072733 288849597 289203905 358454555 481415995 622504247 751930153 867611715 931981843 1075363665 1251681587 1444247985 1867512741 2255790459 2795945529 3112521235 3755044761 3759650765 4659909215 6258407935 8092555211 9337563705 11278952295 13979727645 18775223805 24277665633 40462776055 62872928947 121388328165 188618786841 314364644735 817348076311 943093934205 2452044228933 4086740381555 12260221144665