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12191412012288 = 28372931217661
BaseRepresentation
bin1011000101101000100011…
…0010000100010100000000
31121011111011110112210212220
42301122020302010110000
53044221002433343123
641532353553451040
72365541361200325
oct261321062042400
947144143483786
1012191412012288
1139803922847a3
12144a93b270a80
136a5850717812
143020d3298b4c
151621d7450ce3
hexb1688c84500

12191412012288 has 72 divisors (see below), whose sum is σ = 32447529067296. Its totient is φ = 4063729612800.

The previous prime is 12191412012271. The next prime is 12191412012289. The reversal of 12191412012288 is 88221021419121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191412012289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55902178 + ... + 56119838.

Almost surely, 212191412012288 is an apocalyptic number.

It is an amenable number.

12191412012288 is an abundant number, since it is smaller than the sum of its proper divisors (20256117055008).

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

12191412012288 is an equidigital number, since it uses as much as digits as its factorization.

12191412012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290611 (or 290597 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 12191412012288 in words is "twelve trillion, one hundred ninety-one billion, four hundred twelve million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 72931 145862 217661 218793 291724 435322 437586 583448 652983 870644 875172 1166896 1305966 1741288 1750344 2333792 2611932 3482576 3500688 4667584 5223864 6965152 7001376 9335168 10447728 13930304 14002752 18670336 20895456 27860608 28005504 41790912 55721216 56011008 83581824 167163648 15874234391 31748468782 47622703173 63496937564 95245406346 126993875128 190490812692 253987750256 380981625384 507975500512 761963250768 1015951001024 1523926501536 2031902002048 3047853003072 4063804004096 6095706006144 12191412012288