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12125144445440 = 295132315840751
BaseRepresentation
bin1011000001110001101011…
…1011010111001000000000
31120221011010011102121202012
42300130122323113020000
53042124243434223230
641442114153512052
72361004245156065
oct260343273271000
946834104377665
1012125144445440
113955276a34a24
121439b26412628
1369c51c63b3c0
142dcc08266c6c
15160609861395
hexb071aed7200

12125144445440 has 160 divisors (see below), whose sum is σ = 32669460020736. Its totient is φ = 4282324992000.

The previous prime is 12125144445391. The next prime is 12125144445503. The reversal of 12125144445440 is 4454444152121.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 7154936 + ... + 8685815.

Almost surely, 212125144445440 is an apocalyptic number.

12125144445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12125144445440 is an abundant number, since it is smaller than the sum of its proper divisors (20544315575296).

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

12125144445440 is a wasteful number, since it uses less digits than its factorization.

12125144445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840810 (or 15840794 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 41.

Adding to 12125144445440 its reverse (4454444152121), we get a palindrome (16579588597561).

The spelling of 12125144445440 in words is "twelve trillion, one hundred twenty-five billion, one hundred forty-four million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 299 320 368 416 460 512 520 598 640 736 832 920 1040 1196 1280 1472 1495 1664 1840 2080 2392 2560 2944 2990 3328 3680 4160 4784 5888 5980 6656 7360 8320 9568 11776 11960 14720 16640 19136 23920 29440 33280 38272 47840 58880 76544 95680 153088 191360 382720 765440 15840751 31681502 63363004 79203755 126726008 158407510 205929763 253452016 316815020 364337273 411859526 506904032 633630040 728674546 823719052 1013808064 1029648815 1267260080 1457349092 1647438104 1821686365 2027616128 2059297630 2534520160 2914698184 3294876208 3643372730 4055232256 4118595260 4736384549 5069040320 5829396368 6589752416 7286745460 8110464512 8237190520 9472769098 10138080640 11658792736 13179504832 14573490920 16474381040 18945538196 20276161280 23317585472 23681922745 26359009664 29146981840 32948762080 37891076392 40552322560 46635170944 47363845490 52718019328 58293963680 65897524160 75782152784 93270341888 94727690980 105436038656 116587927360 131795048320 151564305568 186540683776 189455381960 233175854720 263590096640 303128611136 378910763920 466351709440 527180193280 606257222272 757821527840 932703418880 1212514444544 1515643055680 2425028889088 3031286111360 6062572222720 12125144445440