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12000141 = 3211291181
BaseRepresentation
bin101101110001…
…101110001101
3211120200002200
4231301232031
511033001031
61105112113
7203666556
oct55615615
924520080
1012000141
11685697a
124028639
13264209a
14184532d
1510c08e6
hexb71b8d

12000141 has 12 divisors (see below), whose sum is σ = 17363580. Its totient is φ = 7986240.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000141 is 14100021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6022116 + 5978025 = 2454^2 + 2445^2 .

It is not a de Polignac number, because 12000141 - 23 = 12000133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9571 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (1446965).

Almost surely, 212000141 is an apocalyptic number.

It is an amenable number.

12000141 is a deficient number, since it is larger than the sum of its proper divisors (5363439).

12000141 is a wasteful number, since it uses less digits than its factorization.

12000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12000141 is about 3464.1219666750. The cubic root of 12000141 is about 228.9437452000.

Adding to 12000141 its reverse (14100021), we get a palindrome (26100162).

The spelling of 12000141 in words is "twelve million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 1129 1181 3387 3543 10161 10629 1333349 4000047 12000141