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12000137 = 891091237
BaseRepresentation
bin101101110001…
…101110001001
3211120200002112
4231301232021
511033001022
61105112105
7203666552
oct55615611
924520075
1012000137
116856976
124028635
132642096
141845329
1510c08e2
hexb71b89

12000137 has 8 divisors (see below), whose sum is σ = 12256200. Its totient is φ = 11746944.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000137 is 73100021.

12000137 is digitally balanced in base 3, 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 4 ways, for example, as 2383936 + 9616201 = 1544^2 + 3101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12000137 - 22 = 12000133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000133) 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 7 ways as a sum of consecutive naturals, for example, 9083 + ... + 10319.

It is an arithmetic number, because the mean of its divisors is an integer number (1532025).

Almost surely, 212000137 is an apocalyptic number.

It is an amenable number.

12000137 is a deficient number, since it is larger than the sum of its proper divisors (256063).

12000137 is a wasteful number, since it uses less digits than its factorization.

12000137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 12000137 is about 3464.1213893280. The cubic root of 12000137 is about 228.9437197621.

Adding to 12000137 its reverse (73100021), we get a palindrome (85100158).

The spelling of 12000137 in words is "twelve million, one hundred thirty-seven", and thus it is an aban number.

Divisors: 1 89 109 1237 9701 110093 134833 12000137