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12141 = 321971
BaseRepresentation
bin10111101101101
3121122200
42331231
5342031
6132113
750253
oct27555
917580
1012141
119138
127039
1356ac
1445d3
1538e6
hex2f6d

12141 has 12 divisors (see below), whose sum is σ = 18720. Its totient is φ = 7560.

The previous prime is 12119. The next prime is 12143. The reversal of 12141 is 14121.

It is a happy number.

It is not a de Polignac number, because 12141 - 25 = 12109 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

12141 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143) 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, 136 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

212141 is an apocalyptic number.

It is an amenable number.

12141 is a deficient number, since it is larger than the sum of its proper divisors (6579).

12141 is a wasteful number, since it uses less digits than its factorization.

12141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 93 counting only the distinct ones).

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

The square root of 12141 is about 110.1862060332. The cubic root of 12141 is about 22.9836052035.

Adding to 12141 its reverse (14121), we get a palindrome (26262).

It can be divided in two parts, 12 and 141, that added together give a triangular number (153 = T17).

The spelling of 12141 in words is "twelve thousand, one hundred forty-one", and thus it is an iban number.

Divisors: 1 3 9 19 57 71 171 213 639 1349 4047 12141