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12125080752072 = 233239101314091481
BaseRepresentation
bin1011000001110001011100…
…1000011000111111001000
31120221010221201120122212120
42300130113020120333020
53042124131133031242
641442104000411240
72361002542610121
oct260342710307710
946833851518776
1012125080752072
113955243a91182
121439b09016b20
1369c50c39a312
142dcbdda07048
15160603e7e1ec
hexb0717218fc8

12125080752072 has 128 divisors (see below), whose sum is σ = 30511795392000. Its totient is φ = 4015242936320.

The previous prime is 12125080752011. The next prime is 12125080752073. The reversal of 12125080752072 is 27025708052121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12125080752073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8187089572 + ... + 8187091052.

It is an arithmetic number, because the mean of its divisors is an integer number (238373401500).

Almost surely, 212125080752072 is an apocalyptic number.

12125080752072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12125080752072 is an abundant number, since it is smaller than the sum of its proper divisors (18386714639928).

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

12125080752072 is a wasteful number, since it uses less digits than its factorization.

12125080752072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 12125080752072 in words is "twelve trillion, one hundred twenty-five billion, eighty million, seven hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 239 478 717 956 1013 1409 1434 1481 1912 2026 2818 2868 2962 3039 4052 4227 4443 5636 5736 5924 6078 8104 8454 8886 11272 11848 12156 16908 17772 24312 33816 35544 242107 336751 353959 484214 673502 707918 726321 968428 1010253 1061877 1347004 1415836 1427317 1452642 1500253 1936856 2020506 2086729 2123754 2694008 2831672 2854634 2905284 3000506 4041012 4173458 4247508 4281951 4500759 5709268 5810568 6001012 6260187 8082024 8346916 8495016 8563902 9001518 11418536 12002024 12520374 16693832 17127804 18003036 25040748 34255608 36006072 50081496 341128763 358560467 498728231 682257526 717120934 997456462 1023386289 1075681401 1364515052 1434241868 1496184693 1994912924 2046772578 2113856477 2151362802 2729030104 2868483736 2992369386 3989825848 4093545156 4227712954 4302725604 5984738772 6341569431 8187090312 8455425908 8605451208 11969477544 12683138862 16910851816 25366277724 50732555448 505211698003 1010423396006 1515635094009 2020846792012 3031270188018 4041693584024 6062540376036 12125080752072