123201353 has 16 divisors (see below), whose sum is σ = 136632192. Its totient is φ = 111078000.

The previous prime is 123201343. The next prime is 123201371. The reversal of 123201353 is 353102321.

It is not a de Polignac number, because 123201353 - 2⁶ = 123201289 is a prime.

It is a Duffinian number.

123201353 is a modest number, since divided by 1353 gives 1232 as remainder.

It is not an unprimeable number, because it can be changed into a prime (123201343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200675 + ... + 201287.

It is an arithmetic number, because the mean of its divisors is an integer number (8539512).

Almost surely, 2^123201353 is an apocalyptic number.

It is an amenable number.

123201353 is a deficient number, since it is larger than the sum of its proper divisors (13430839).

123201353 is an equidigital number, since it uses as much as digits as its factorization.

123201353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 123201353 is about 11099.6104886613. The cubic root of 123201353 is about 497.5902084681.

Adding to 123201353 its reverse (353102321), we get a palindrome (476303674).

The spelling of 123201353 in words is "one hundred twenty-three million, two hundred one thousand, three hundred fifty-three".