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12040301141 = 112313209891
BaseRepresentation
bin10110011011010100…
…00110101001010101
31011002002221200010022
423031222012221111
5144124304114031
65310425234525
7604240604531
oct131552065125
934062850108
1012040301141
115119488500
122400332a45
13119b60545b
1482310cbc1
154a708197b
hex2cda86a55

12040301141 has 12 divisors (see below), whose sum is σ = 13661300352. Its totient is φ = 10592637000.

The previous prime is 12040301089. The next prime is 12040301149. The reversal of 12040301141 is 14110304021.

It is a happy number.

12040301141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12040301141 - 222 = 12036106837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040301149) 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 11 ways as a sum of consecutive naturals, for example, 1601195 + ... + 1608696.

It is an arithmetic number, because the mean of its divisors is an integer number (1138441696).

Almost surely, 212040301141 is an apocalyptic number.

12040301141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12040301141 is a deficient number, since it is larger than the sum of its proper divisors (1620999211).

12040301141 is a wasteful number, since it uses less digits than its factorization.

12040301141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209944 (or 3209933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12040301141 its reverse (14110304021), we get a palindrome (26150605162).

The spelling of 12040301141 in words is "twelve billion, forty million, three hundred one thousand, one hundred forty-one".

Divisors: 1 11 31 121 341 3751 3209891 35308801 99506621 388396811 1094572831 12040301141