120252 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 36400.

The previous prime is 120247. The next prime is 120277. The reversal of 120252 is 252021.

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

It is a congruent number.

It is an unprimeable number.

120252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹²⁰²⁵² is an apocalyptic number.

120252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120252 is an abundant number, since it is smaller than the sum of its proper divisors (186180).

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

120252 is a wasteful number, since it uses less digits than its factorization.

120252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

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

The square root of 120252 is about 346.7737014250. The cubic root of 120252 is about 49.3587443149.

Adding to 120252 its reverse (252021), we get a palindrome (372273).

Subtracting 120252 from its reverse (252021), we obtain a square (131769 = 363²).

The spelling of 120252 in words is "one hundred twenty thousand, two hundred fifty-two".