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12004041420 = 2232579527017
BaseRepresentation
bin10110010110111111…
…10010001011001100
31010222120201111010200
423023133302023030
5144041013311140
65303052133500
7603320445210
oct131337621314
933876644120
1012004041420
1150aaa71a98
1223b0167290
131193c4b1b7
1481c390940
154a3cbd030
hex2cb7f22cc

12004041420 has 72 divisors (see below), whose sum is σ = 41614014624. Its totient is φ = 2743780608.

The previous prime is 12004041419. The next prime is 12004041431. The reversal of 12004041420 is 2414040021.

12004041420 is a `hidden beast` number, since 1 + 200 + 4 + 0 + 41 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12004041393 and 12004041402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4762249 + ... + 4764768.

Almost surely, 212004041420 is an apocalyptic number.

12004041420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004041420 is an abundant number, since it is smaller than the sum of its proper divisors (29609973204).

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

12004041420 is a wasteful number, since it uses less digits than its factorization.

12004041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527039 (or 9527034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12004041420 its reverse (2414040021), we get a palindrome (14418081441).

The spelling of 12004041420 in words is "twelve billion, four million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9527017 19054034 28581051 38108068 47635085 57162102 66689119 85743153 95270170 114324204 133378238 142905255 171486306 190540340 200067357 266756476 285810510 333445595 342972612 400134714 428715765 571621020 600202071 666891190 800269428 857431530 1000336785 1200404142 1333782380 1714863060 2000673570 2400808284 3001010355 4001347140 6002020710 12004041420