123201 has 21 divisors (see below), whose sum is σ = 200019. Its totient is φ = 75816.

The previous prime is 123191. The next prime is 123203. The reversal of 123201 is 102321.

Adding to 123201 its reverse (102321), we get a palindrome (225522).

It can be divided in two parts, 12320 and 1, that added together give a palindrome (12321).

123201 = T_{350} + T_{351}.

123201 = 1^{3} + 2^{3} + ... + 26^{3}.

It is a happy number.

The square root of 123201 is 351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18225 + 104976 = 135^2 + 324^2 .

It is not a de Polignac number, because 123201 - 2^{5} = 123169 is a prime.

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

It is a Curzon number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9471 + ... + 9483.

2^{123201} is an apocalyptic number.

123201 is the 351-st square number.

123201 is the 176-th centered octagonal number.

It is an amenable number.

123201 is a deficient number, since it is larger than the sum of its proper divisors (76818).

123201 is an frugal number, since it uses more digits than its factorization.

123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 16 counting only the distinct ones).

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

The cubic root of 123201 is about 49.7589733231.

The spelling of 123201 in words is "one hundred twenty-three thousand, two hundred one", and thus it is an iban number.

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