123252252321 has 16 divisors (see below), whose sum is σ = 179684398080. Its totient is φ = 74528170320.

The previous prime is 123252252311. The next prime is 123252252329.

It is a happy number.

123252252321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123252252321 - 2²⁹ = 122715381409 is a prime.

It is a super-2 number, since 2×123252252321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123252252329) 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, 4239405 + ... + 4268378.

It is an arithmetic number, because the mean of its divisors is an integer number (11230274880).

Almost surely, 2^123252252321 is an apocalyptic number.

123252252321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123252252321 is a deficient number, since it is larger than the sum of its proper divisors (56432145759).

123252252321 is a wasteful number, since it uses less digits than its factorization.

123252252321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508236.

The product of its digits is 14400, while the sum is 30.

It can be divided in two parts, 123252 and 252321, that added together give a palindrome (375573).

The spelling of 123252252321 in words is "one hundred twenty-three billion, two hundred fifty-two million, two hundred fifty-two thousand, three hundred twenty-one".