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12001131112 = 2310453143513
BaseRepresentation
bin10110010110101001…
…01011101001101000
31010222101020121221111
423023110223221220
5144034242143422
65302505520104
7603253634305
oct131324535150
933871217844
1012001131112
1150a9364483
1223ab1a3034
13119346c619
1481bc340ac
154a38e5a77
hex2cb52ba68

12001131112 has 16 divisors (see below), whose sum is σ = 22504430340. Its totient is φ = 5999949696.

The previous prime is 12001131083. The next prime is 12001131127. The reversal of 12001131112 is 21113110021.

It is a happy number.

12001131112 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 10925684676 + 1075446436 = 104526^2 + 32794^2 .

It is a super-3 number, since 3×120011311123 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001131092 and 12001131101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11868 + ... + 155380.

Almost surely, 212001131112 is an apocalyptic number.

It is an amenable number.

12001131112 is a deficient number, since it is larger than the sum of its proper divisors (10503299228).

12001131112 is a wasteful number, since it uses less digits than its factorization.

12001131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153972 (or 153968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12001131112 its reverse (21113110021), we get a palindrome (33114241133).

The spelling of 12001131112 in words is "twelve billion, one million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 10453 20906 41812 83624 143513 287026 574052 1148104 1500141389 3000282778 6000565556 12001131112