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12130579725600 = 253527722058317
BaseRepresentation
bin1011000010000101111011…
…1001010011110100100000
31120221200010221212110102210
42300201132321103310200
53042221411402204400
641444413354442120
72361256034244660
oct260413671236440
946850127773383
1012130579725600
1139576060143a6
12143aba2733340
1369cba77119cb
142dd1a20741a0
15160826ae9950
hexb085ee53d20

12130579725600 has 144 divisors (see below), whose sum is σ = 45125756641728. Its totient is φ = 2772703933440.

The previous prime is 12130579725533. The next prime is 12130579725613. The reversal of 12130579725600 is 652797503121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12130579725600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361012359 + ... + 361045958.

It is an arithmetic number, because the mean of its divisors is an integer number (313373310012).

Almost surely, 212130579725600 is an apocalyptic number.

12130579725600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130579725600 is an abundant number, since it is smaller than the sum of its proper divisors (32995176916128).

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

12130579725600 is a wasteful number, since it uses less digits than its factorization.

12130579725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722058347 (or 722058334 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 12130579725600 in words is "twelve trillion, one hundred thirty billion, five hundred seventy-nine million, seven hundred twenty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 722058317 1444116634 2166174951 2888233268 3610291585 4332349902 5054408219 5776466536 7220583170 8664699804 10108816438 10830874755 11552933072 14441166340 15163224657 17329399608 18051457925 20217632876 21661749510 23105866144 25272041095 28882332680 30326449314 34658799216 36102915850 40435265752 43323499020 50544082190 54154373775 57764665360 60652898628 69317598432 72205831700 75816123285 80870531504 86646998040 101088164380 108308747550 115529330720 121305797256 126360205475 144411663400 151632246570 161741063008 173293996080 202176328760 216617495100 242611594512 252720410950 288823326800 303264493140 346587992160 379080616425 404352657520 433234990200 485223189024 505440821900 577646653600 606528986280 758161232850 808705315040 866469980400 1010881643800 1213057972560 1516322465700 1732939960800 2021763287600 2426115945120 3032644931400 4043526575200 6065289862800 12130579725600