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12005136456 = 2331979252761
BaseRepresentation
bin10110010111000111…
…11101100001001000
31010222122210010020120
423023203331201020
5144041303331311
65303131423240
7603332655555
oct131343754110
933878703216
1012005136456
11510064a785
1223b05b4b20
131194242751
1481c597a2c
154a3e37706
hex2cb8fd848

12005136456 has 32 divisors (see below), whose sum is σ = 30028125600. Its totient is φ = 3999674240.

The previous prime is 12005136427. The next prime is 12005136457. The reversal of 12005136456 is 65463150021.

12005136456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12005136457) 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 7 ways as a sum of consecutive naturals, for example, 78885 + ... + 173876.

It is an arithmetic number, because the mean of its divisors is an integer number (938378925).

Almost surely, 212005136456 is an apocalyptic number.

It is an amenable number.

12005136456 is an abundant number, since it is smaller than the sum of its proper divisors (18022989144).

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

12005136456 is a wasteful number, since it uses less digits than its factorization.

12005136456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254749 (or 254745 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 12005136456 its reverse (65463150021), we get a palindrome (77468286477).

The spelling of 12005136456 in words is "twelve billion, five million, one hundred thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 1979 3958 5937 7916 11874 15832 23748 47496 252761 505522 758283 1011044 1516566 2022088 3033132 6066264 500214019 1000428038 1500642057 2000856076 3001284114 4001712152 6002568228 12005136456