123641146321 has 32 divisors (see below), whose sum is σ = 155818156032. Its totient is φ = 95302172160.

The previous prime is 123641146313. The next prime is 123641146327.

123641146321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123641146321 - 2³ = 123641146313 is a prime.

It is a super-3 number, since 3×123641146321³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123641146327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23651710 + ... + 23656936.

It is an arithmetic number, because the mean of its divisors is an integer number (4869317376).

Almost surely, 2^123641146321 is an apocalyptic number.

123641146321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123641146321 is a deficient number, since it is larger than the sum of its proper divisors (32177009711).

123641146321 is a wasteful number, since it uses less digits than its factorization.

123641146321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 123641 and 146321, that added together give a palindrome (269962).

The spelling of 123641146321 in words is "one hundred twenty-three billion, six hundred forty-one million, one hundred forty-six thousand, three hundred twenty-one".