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123201 = 36132
BaseRepresentation
bin11110000101000001
320021000000
4132011001
512420301
62350213
71022121
oct360501
9207000
10123201
1184621
125b369
1344100
1432c81
1526786
hex1e141

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 = T350 + T351.

123201 = 13 + 23 + ... + 263.

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 - 25 = 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.

2123201 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.

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 3159 4563 9477 13689 41067 123201