13122 has 18 divisors (see below), whose sum is σ = 29523. Its totient is φ = 4374.

The previous prime is 13121. The next prime is 13127. The reversal of 13122 is 22131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 6561 = 81^2 + 81^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=81.

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

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

It is a nialpdrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4373 + 4374 + 4375.

2^{13122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122

13122 is an abundant number, since it is smaller than the sum of its proper divisors (16401).

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

13122 is an frugal number, since it uses more digits than its factorization.

13122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 5 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 13122 is about 114.5512985522. The cubic root of 13122 is about 23.5866725479.

Multiplying 13122 by its product of digits (12), we get a cube (157464 = 54^{3}).

Adding to 13122 its reverse (22131), we get a palindrome (35253).

Subtracting 13122 from its reverse (22131), we obtain a palindrome (9009).

It can be divided in two parts, 131 and 22, that multiplied together give a palindrome (2882).

The spelling of 13122 in words is "thirteen thousand, one hundred twenty-two".

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