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12198639180 = 22357213319169
BaseRepresentation
bin10110101110001100…
…00111011001001100
31011111010220002002010
423113012013121030
5144440322423210
65334243101220
7611202502500
oct132706073114
934433802063
1012198639180
11519a8a5192
122445371810
1311c53635c0
1483a168300
154b5e0b920
hex2d718764c

12198639180 has 144 divisors (see below), whose sum is σ = 42789206880. Its totient is φ = 2573770752.

The previous prime is 12198639163. The next prime is 12198639197. The reversal of 12198639180 is 8193689121.

12198639180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12198639163) and next prime (12198639197).

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, 121365 + ... + 197804.

It is an arithmetic number, because the mean of its divisors is an integer number (297147270).

Almost surely, 212198639180 is an apocalyptic number.

12198639180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12198639180 is an abundant number, since it is smaller than the sum of its proper divisors (30590567700).

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

12198639180 is a wasteful number, since it uses less digits than its factorization.

12198639180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319208 (or 319199 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 12198639180 in words is "twelve billion, one hundred ninety-eight million, six hundred thirty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 319169 638338 957507 1276676 1595845 1915014 2234183 3191690 3830028 4149197 4468366 4787535 6383380 6702549 8298394 8936732 9575070 11170915 12447591 13405098 15639281 16596788 19150140 20745985 22341830 24895182 26810196 29044379 31278562 33512745 41491970 44683660 46917843 49790364 58088758 62237955 62557124 67025490 78196405 82983940 87133137 93835686 116177516 124475910 134050980 145221895 156392810 174266274 187671372 203310653 234589215 248951820 290443790 312785620 348532548 406621306 435665685 469178430 580887580 609931959 813242612 871331370 938356860 1016553265 1219863918 1742662740 2033106530 2439727836 3049659795 4066213060 6099319590 12198639180