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12012413430312 = 2332191387213317
BaseRepresentation
bin1010111011001101101110…
…1000101010101000101000
31120112101010202010200220200
42232303123220222220220
53033302410314232222
641314232044552200
72346603542305311
oct256633350525050
946471122120820
1012012413430312
113911488244819
121420104b52660
136919c53b8a19
142d7592499608
1515c70cb08eac
hexaecdba2aa28

12012413430312 has 48 divisors (see below), whose sum is σ = 32550626677140. Its totient is φ = 4002044644608.

The previous prime is 12012413430253. The next prime is 12012413430323. The reversal of 12012413430312 is 21303431421021.

12012413430312 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 4 + 1 + 343 + 0 + 312 = 666.

12012413430312 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 11999199008196 + 13214422116 = 3463986^2 + 114954^2 .

It is a super-2 number, since 2×120124134303122 (a number of 27 digits) contains 22 as substring.

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, 43468923 + ... + 43744394.

Almost surely, 212012413430312 is an apocalyptic number.

12012413430312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012413430312 is an abundant number, since it is smaller than the sum of its proper divisors (20538213246828).

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

12012413430312 is a wasteful number, since it uses less digits than its factorization.

12012413430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87215242 (or 87215235 counting only the distinct ones).

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

Adding to 12012413430312 its reverse (21303431421021), we get a palindrome (33315844851333).

The spelling of 12012413430312 in words is "twelve trillion, twelve billion, four hundred thirteen million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1913 3826 5739 7652 11478 15304 17217 22956 34434 45912 68868 137736 87213317 174426634 261639951 348853268 523279902 697706536 784919853 1046559804 1569839706 2093119608 3139679412 6279358824 166839075421 333678150842 500517226263 667356301684 1001034452526 1334712603368 1501551678789 2002068905052 3003103357578 4004137810104 6006206715156 12012413430312