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12116 = 2213233
BaseRepresentation
bin10111101010100
3121121202
42331110
5341431
6132032
750216
oct27524
917552
1012116
119115
127018
135690
1445b6
1538cb
hex2f54

12116 has 12 divisors (see below), whose sum is σ = 22932. Its totient is φ = 5568.

The previous prime is 12113. The next prime is 12119. The reversal of 12116 is 61121.

It is an interprime number because it is at equal distance from previous prime (12113) and next prime (12119).

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 10000 = 46^2 + 100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12097 and 12106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12116.

It is not an unprimeable number, because it can be changed into a prime (12113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1911).

212116 is an apocalyptic number.

It is an amenable number.

12116 is a deficient number, since it is larger than the sum of its proper divisors (10816).

12116 is a wasteful number, since it uses less digits than its factorization.

12116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its digits is 12, while the sum is 11.

The square root of 12116 is about 110.0727032465. The cubic root of 12116 is about 22.9678188880.

Adding to 12116 its reverse (61121), we get a palindrome (73237).

It can be divided in two parts, 121 and 16, that multiplied together give a square (1936 = 442).

The spelling of 12116 in words is "twelve thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 233 466 932 3029 6058 12116