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123116 = 2274397
BaseRepresentation
bin11110000011101100
320020212212
4132003230
512414431
62345552
71021640
oct360354
9206785
10123116
1184554
125b2b8
1344066
1432c20
152672b
hex1e0ec

123116 has 12 divisors (see below), whose sum is σ = 246288. Its totient is φ = 52752.

The previous prime is 123113. The next prime is 123121. The reversal of 123116 is 611321.

123116 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 123116.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123116.

It is not an unprimeable number, because it can be changed into a prime (123113) 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, 2171 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (20524).

2123116 is an apocalyptic number.

It is an amenable number.

123116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123116 is a wasteful number, since it uses less digits than its factorization.

123116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4406 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 123116 is about 350.8788964871. The cubic root of 123116 is about 49.7475272964.

Adding to 123116 its reverse (611321), we get a palindrome (734437).

The spelling of 123116 in words is "one hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 4397 8794 17588 30779 61558 123116