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12022314012144 = 2432471776346633
BaseRepresentation
bin1010111011110010100111…
…0000011000110111110000
31120120022200201211100221200
42232330221300120313300
53033433144341342034
641322550320451200
72350404102000342
oct256745160306760
946508621740850
1012022314012144
1139156a8925457
121422008779b00
13692912607477
142d7c5133d292
1515cadbdc9a99
hexaef29c18df0

12022314012144 has 60 divisors (see below), whose sum is σ = 34361649288096. Its totient is φ = 3922173363456.

The previous prime is 12022314012127. The next prime is 12022314012179. The reversal of 12022314012144 is 44121041322021.

12022314012144 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 231 + 401 + 21 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888166549 + ... + 888180084.

Almost surely, 212022314012144 is an apocalyptic number.

It is an amenable number.

12022314012144 is an abundant number, since it is smaller than the sum of its proper divisors (22339335275952).

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

12022314012144 is a wasteful number, since it uses less digits than its factorization.

12022314012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776346694 (or 1776346685 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12022314012144 its reverse (44121041322021), we get a palindrome (56143355334165).

The spelling of 12022314012144 in words is "twelve trillion, twenty-two billion, three hundred fourteen million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 1776346633 3552693266 5329039899 7105386532 10658079798 14210773064 15987119697 21316159596 28421546128 31974239394 42632319192 63948478788 83488291751 85264638384 127896957576 166976583502 250464875253 255793915152 333953167004 500929750506 667906334008 751394625759 1001859501012 1335812668016 1502789251518 2003719002024 3005578503036 4007438004048 6011157006072 12022314012144