123251152321 has 32 divisors (see below), whose sum is σ = 138859370496. Its totient is φ = 108436536000.

The previous prime is 123251152303. The next prime is 123251152337.

123251152321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123251152321 - 2⁵ = 123251152289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123251152321.

It is not an unprimeable number, because it can be changed into a prime (123251152361) 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, 19840906 + ... + 19847116.

It is an arithmetic number, because the mean of its divisors is an integer number (4339355328).

Almost surely, 2^123251152321 is an apocalyptic number.

123251152321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123251152321 is a deficient number, since it is larger than the sum of its proper divisors (15608218175).

123251152321 is a wasteful number, since it uses less digits than its factorization.

123251152321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693.

The product of its digits is 3600, while the sum is 28.

It can be divided in two parts, 123251 and 152321, that added together give a palindrome (275572).

The spelling of 123251152321 in words is "one hundred twenty-three billion, two hundred fifty-one million, one hundred fifty-two thousand, three hundred twenty-one".