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12131825633712 = 2432198013425471
BaseRepresentation
bin1011000010001010100100…
…1010000100100110110000
31120221210100210021011001200
42300202221022010212300
53042231434330234322
641445141142531200
72361331643266101
oct260425112044660
946853323234050
1012131825633712
113958095326624
12143b28ba36b00
136a004588ac45
142dd27d7143a8
1516089b1a28ac
hexb08a92849b0

12131825633712 has 60 divisors (see below), whose sum is σ = 33952513281024. Its totient is φ = 4043911950720.

The previous prime is 12131825633701. The next prime is 12131825633731. The reversal of 12131825633712 is 21733652813121.

12131825633712 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 8 + 2 + 5 + 633 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28301137 + ... + 28726607.

Almost surely, 212131825633712 is an apocalyptic number.

12131825633712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131825633712 is an abundant number, since it is smaller than the sum of its proper divisors (21820687647312).

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

12131825633712 is a wasteful number, since it uses less digits than its factorization.

12131825633712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623498 (or 623489 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 12131825633712 in words is "twelve trillion, one hundred thirty-one billion, eight hundred twenty-five million, six hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 198013 396026 425471 594039 792052 850942 1188078 1276413 1584104 1701884 1782117 2376156 2552826 3168208 3403768 3564234 3829239 4752312 5105652 6807536 7128468 7658478 9504624 10211304 14256936 15316956 20422608 28513872 30633912 61267824 84248789123 168497578246 252746367369 336995156492 505492734738 673990312984 758239102107 1010985469476 1347980625968 1516478204214 2021970938952 3032956408428 4043941877904 6065912816856 12131825633712