123144252 has 144 divisors (see below), whose sum is σ = 370782720. Its totient is φ = 31449600.

The previous prime is 123144223. The next prime is 123144257. The reversal of 123144252 is 252441321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123144257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510852 + ... + 511092.

It is an arithmetic number, because the mean of its divisors is an integer number (2574880).

Almost surely, 2^123144252 is an apocalyptic number.

123144252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123144252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

123144252 is an abundant number, since it is smaller than the sum of its proper divisors (247638468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123144252 is a wasteful number, since it uses less digits than its factorization.

123144252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 123144252 is about 11097.0379831737. The cubic root of 123144252 is about 497.5133227075.

Adding to 123144252 its reverse (252441321), we get a palindrome (375585573).

The spelling of 123144252 in words is "one hundred twenty-three million, one hundred forty-four thousand, two hundred fifty-two".