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12000007 = 31212487
BaseRepresentation
bin101101110001…
…101100000111
3211120122220201
4231301230013
511033000012
61105111331
7203666305
oct55615407
924518821
1012000007
116856868
124028547
132641cc6
141845275
1510c0857
hexb71b07

12000007 has 6 divisors (see below), whose sum is σ = 12400584. Its totient is φ = 11611980.

The previous prime is 11999989. The next prime is 12000017. The reversal of 12000007 is 70000021.

It is not a de Polignac number, because 12000007 - 27 = 11999879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11999957 and 12000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5283 + ... + 7204.

It is an arithmetic number, because the mean of its divisors is an integer number (2066764).

Almost surely, 212000007 is an apocalyptic number.

12000007 is a deficient number, since it is larger than the sum of its proper divisors (400577).

12000007 is an equidigital number, since it uses as much as digits as its factorization.

12000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12549 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 12000007 is about 3464.1026255006. The cubic root of 12000007 is about 228.9428930273.

Adding to 12000007 its product of nonzero digits (14), we get a palindrome (12000021).

Adding to 12000007 its reverse (70000021), we get a palindrome (82000028).

The spelling of 12000007 in words is "twelve million, seven", and thus it is an aban number and an uban number.

Divisors: 1 31 961 12487 387097 12000007