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120027262168312 = 23194771971243703
BaseRepresentation
bin11011010010101000000110…
…010100110010110011111000
3120201222111100021100200021221
4123102220012110302303320
5111213011313103341222
61103135432451441424
734165453306612342
oct3322500624626370
9521874307320257
10120027262168312
1135276304431824
12115661072b6274
1351c86a3520705
14218d4c9a38292
15dd22b7c250c7
hex6d2a06532cf8

120027262168312 has 128 divisors (see below), whose sum is σ = 245597482598400. Its totient is φ = 54804875529600.

The previous prime is 120027262168291. The next prime is 120027262168379. The reversal of 120027262168312 is 213861262720021.

120027262168312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492392653 + ... + 492636355.

It is an arithmetic number, because the mean of its divisors is an integer number (1918730332800).

Almost surely, 2120027262168312 is an apocalyptic number.

It is an amenable number.

120027262168312 is an abundant number, since it is smaller than the sum of its proper divisors (125570220430088).

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

120027262168312 is a wasteful number, since it uses less digits than its factorization.

120027262168312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244817 (or 244813 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 120027262168312 in words is "one hundred twenty trillion, twenty-seven billion, two hundred sixty-two million, one hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 19 38 47 71 76 94 142 152 188 284 376 568 893 971 1349 1786 1942 2698 3337 3572 3884 5396 6674 7144 7768 10792 13348 18449 26696 36898 45637 63403 68941 73796 91274 126806 137882 147592 182548 243703 253612 275764 365096 487406 507224 551528 867103 974812 1309879 1734206 1949624 2619758 3240227 3468412 4630357 5239516 6480454 6936824 9260714 10479032 11454041 12960908 17302913 18521428 22908082 25921816 34605826 37042856 45816164 61564313 69211652 91632328 123128626 138423304 217626779 236635613 246257252 328755347 435253558 473271226 492514504 657510694 813236911 870507116 946542452 1315021388 1626473822 1741014232 1893084904 2630042776 3252947644 4496076647 6505895288 8992153294 11121873811 15451501309 16801128523 17984306588 22243747622 30903002618 33602257046 35968613176 44487495244 61806005236 67204514092 88974990488 123612010472 134409028184 211315602409 319221441937 422631204818 638442883874 789653040581 845262409636 1276885767748 1579306081162 1690524819272 2553771535496 3158612162324 6317224324648 15003407771039 30006815542078 60013631084156 120027262168312