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16122 = 232687

16122 has 8 divisors (see below), whose sum is σ = 32256. Its totient is φ = 5372.

The previous prime is 16111. The next prime is 16127. The reversal of 16122 is 22161.

Subtracting from 16122 its sum of digits (12), we obtain a triangular number (16110 = T179).

Adding to 16122 its reverse (22161), we get a palindrome (38283).

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

16122 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 16098 and 16107.

It is not an unprimeable number, because it can be changed into a prime (16127) by changing a digit.

16122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1338 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

216122 is an apocalyptic number.

16122 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128).

16122 is a wasteful number, since it uses less digits than its factorization.

16122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692.

The product of its digits is 24, while the sum is 12.

The square root of 16122 is about 126.9724379541. The cubic root of 16122 is about 25.2623048871.

The spelling of 16122 in words is "sixteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 2687 5374 8061 16122