252120 has 64 divisors (see below), whose sum is σ = 829440. Its totient is φ = 60800.

The previous prime is 252101. The next prime is 252139. The reversal of 252120 is 21252.

It is an interprime number because it is at equal distance from previous prime (252101) and next prime (252139).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 252096 and 252105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2²⁵²¹²⁰ is an apocalyptic number.

252120 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 252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

252120 is an abundant number, since it is smaller than the sum of its proper divisors (577320).

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

252120 is a wasteful number, since it uses less digits than its factorization.

252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 252120 is about 502.1155245559. The cubic root of 252120 is about 63.1736203532.

Adding to 252120 its reverse (21252), we get a palindrome (273372).

It can be divided in two parts, 25 and 2120, that added together give a triangular number (2145 = T₆₅).

The spelling of 252120 in words is "two hundred fifty-two thousand, one hundred twenty".