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12040304292 = 2234229162277
BaseRepresentation
bin10110011011010100…
…00111011010100100
31011002002221211110000
423031222013122210
5144124304214132
65310425301300
7604240616652
oct131552073244
934062854400
1012040304292
11511948a905
122400334830
13119b606a13
1482310ddd2
154a708287c
hex2cda876a4

12040304292 has 60 divisors (see below), whose sum is σ = 31613377180. Its totient is φ = 3995884224.

The previous prime is 12040304291. The next prime is 12040304317. The reversal of 12040304292 is 29240304021.

12040304292 is a `hidden beast` number, since 1 + 204 + 0 + 30 + 429 + 2 = 666.

12040304292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5971271076 + 6069033216 = 77274^2 + 77904^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12040304291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6943 + ... + 155334.

Almost surely, 212040304292 is an apocalyptic number.

12040304292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040304292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15806688590).

12040304292 is an abundant number, since it is smaller than the sum of its proper divisors (19573072888).

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

12040304292 is a wasteful number, since it uses less digits than its factorization.

12040304292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162522 (or 162511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12040304292 in words is "twelve billion, forty million, three hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 324 458 687 916 1374 2061 2748 4122 6183 8244 12366 18549 24732 37098 74196 162277 324554 486831 649108 973662 1460493 1947324 2920986 4381479 5841972 8762958 13144437 17525916 26288874 37161433 52577748 74322866 111484299 148645732 222968598 334452897 445937196 668905794 1003358691 1337811588 2006717382 3010076073 4013434764 6020152146 12040304292