123144441321 has 32 divisors (see below), whose sum is σ = 183249838080. Its totient is φ = 72930502400.

The previous prime is 123144441317. The next prime is 123144441337.

It is a happy number.

123144441321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123144441321 - 2² = 123144441317 is a prime.

It is a super-2 number, since 2×123144441321² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123144441311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32200 + ... + 497318.

It is an arithmetic number, because the mean of its divisors is an integer number (5726557440).

Almost surely, 2^123144441321 is an apocalyptic number.

123144441321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123144441321 is a deficient number, since it is larger than the sum of its proper divisors (60105396759).

123144441321 is a wasteful number, since it uses less digits than its factorization.

123144441321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465317.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 123144 and 441321, that added together give a palindrome (564465).

The spelling of 123144441321 in words is "one hundred twenty-three billion, one hundred forty-four million, four hundred forty-one thousand, three hundred twenty-one".