252108120 has 256 divisors, whose sum is σ = 874229760. Its totient is φ = 57600000.

The previous prime is 252108119. The next prime is 252108133. The reversal of 252108120 is 21801252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2496070 + ... + 2496170.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^252108120 is an apocalyptic number.

252108120 is a gapful number since it is divisible by the number (20) 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 252108120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

252108120 is an abundant number, since it is smaller than the sum of its proper divisors (622121640).

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

252108120 is a wasteful number, since it uses less digits than its factorization.

252108120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 252108120 is about 15877.9129610916. The cubic root of 252108120 is about 631.7262808177.

Adding to 252108120 its reverse (21801252), we get a palindrome (273909372).

The spelling of 252108120 in words is "two hundred fifty-two million, one hundred eight thousand, one hundred twenty".