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12959976120 = 23357131186811
BaseRepresentation
bin11000001000111100…
…11000101010111000
31020110012111000000120
430010132120222320
5203020223213440
65542001133240
7636105656640
oct140436305270
936405430016
1012959976120
115550628973
12261832a220
1312b6cca330
148ad30b520
1550cb97dd0
hex304798ab8

12959976120 has 128 divisors (see below), whose sum is σ = 47852259840. Its totient is φ = 2734410240.

The previous prime is 12959976091. The next prime is 12959976179. The reversal of 12959976120 is 2167995921.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 582486 + ... + 604325.

It is an arithmetic number, because the mean of its divisors is an integer number (373845780).

Almost surely, 212959976120 is an apocalyptic number.

12959976120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12959976120 is an abundant number, since it is smaller than the sum of its proper divisors (34892283720).

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

12959976120 is a wasteful number, since it uses less digits than its factorization.

12959976120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186845 (or 1186841 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 12959976120 in words is "twelve billion, nine hundred fifty-nine million, nine hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 1186811 2373622 3560433 4747244 5934055 7120866 8307677 9494488 11868110 14241732 15428543 16615354 17802165 23736220 24923031 28483464 30857086 33230708 35604330 41538385 46285629 47472440 49846062 61714172 66461416 71208660 77142715 83076770 92571258 99692124 107999801 123428344 124615155 142417320 154285430 166153540 185142516 199384248 215999602 231428145 249230310 308570860 323999403 332307080 370285032 431999204 462856290 498460620 539999005 617141720 647998806 863998408 925712580 996921240 1079998010 1295997612 1619997015 1851425160 2159996020 2591995224 3239994030 4319992040 6479988060 12959976120