252812120 has 128 divisors (see below), whose sum is σ = 651551040. Its totient is φ = 87459840.

The previous prime is 252812071. The next prime is 252812123. The reversal of 252812120 is 21218252.

252812120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252812123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862694 + ... + 862986.

Almost surely, 2^252812120 is an apocalyptic number.

252812120 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 252812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775520).

252812120 is an abundant number, since it is smaller than the sum of its proper divisors (398738920).

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

252812120 is a wasteful number, since it uses less digits than its factorization.

252812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 252812120 is about 15900.0666665269. The cubic root of 252812120 is about 632.3137562433.

The spelling of 252812120 in words is "two hundred fifty-two million, eight hundred twelve thousand, one hundred twenty".