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12000001 = 131922557
BaseRepresentation
bin101101110001…
…101100000001
3211120122220111
4231301230001
511033000001
61105111321
7203666266
oct55615401
924518814
1012000001
116856862
124028541
132641cc0
14184526d
1510c0851
hexb71b01

12000001 has 12 divisors (see below), whose sum is σ = 13644372. Its totient is φ = 10489824.

The previous prime is 11999989. The next prime is 12000017. The reversal of 12000001 is 10000021.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 8673025 = 1824^2 + 2945^2 .

It is not a de Polignac number, because 12000001 - 29 = 11999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3415 + ... + 5971.

It is an arithmetic number, because the mean of its divisors is an integer number (1137031).

Almost surely, 212000001 is an apocalyptic number.

It is an amenable number.

12000001 is a deficient number, since it is larger than the sum of its proper divisors (1644371).

12000001 is a wasteful number, since it uses less digits than its factorization.

12000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 12000001 is about 3464.1017594753. The cubic root of 12000001 is about 228.9428548702.

Adding to 12000001 its reverse (10000021), we get a palindrome (22000022).

Multiplying 12000001 by its reverse (10000021), we get a palindrome (120000262000021).

It can be divided in two parts, 1 and 2000001, that added together give a palindrome (2000002).

The spelling of 12000001 in words is "twelve million, one", and thus it is an aban number and an uban number.

Divisors: 1 13 19 247 361 2557 4693 33241 48583 631579 923077 12000001