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12000123300012 = 22343137997170263
BaseRepresentation
bin1010111010011111111100…
…0101100010100010101100
31120111012102020002101121120
42232213333011202202230
53033102223031100022
641304440332500540
72345660146026531
oct256477705424254
946435366071546
1012000123300012
11390725083aa41
12141985501a750
136907b7100883
142d6b48116d88
1515c23db78d5c
hexae9ff1628ac

12000123300012 has 96 divisors (see below), whose sum is σ = 28889709015552. Its totient is φ = 3874585591296.

The previous prime is 12000123299999. The next prime is 12000123300019. The reversal of 12000123300012 is 21000332100021.

It is a junction number, because it is equal to n+sod(n) for n = 12000123299964 and 12000123300000.

It is not an unprimeable number, because it can be changed into a prime (12000123300019) 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, 70394793 + ... + 70565055.

It is an arithmetic number, because the mean of its divisors is an integer number (300934468912).

Almost surely, 212000123300012 is an apocalyptic number.

12000123300012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000123300012 is an abundant number, since it is smaller than the sum of its proper divisors (16889585715540).

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

12000123300012 is a wasteful number, since it uses less digits than its factorization.

12000123300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171447 (or 171445 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000123300012 its reverse (21000332100021), we get a palindrome (33000455400033).

The spelling of 12000123300012 in words is "twelve trillion, one hundred twenty-three million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 137 172 258 274 411 516 548 822 997 1644 1994 2991 3988 5891 5982 11782 11964 17673 23564 35346 42871 70692 85742 128613 136589 170263 171484 257226 273178 340526 409767 510789 514452 546356 681052 819534 1021578 1639068 2043156 5873327 7321309 11746654 14642618 17619981 21963927 23326031 23493308 29285236 35239962 43927854 46652062 69978093 70479924 87855708 93304124 139956186 169752211 279912372 339504422 509256633 679008844 1003019333 1018513266 2006038666 2037026532 3009057999 4012077332 6018115998 7299345073 12036231996 14598690146 21898035219 23256052907 29197380292 43796070438 46512105814 69768158721 87592140876 93024211628 139536317442 279072634884 1000010275001 2000020550002 3000030825003 4000041100004 6000061650006 12000123300012