120852 has 30 divisors (see below), whose sum is σ = 316778. Its totient is φ = 40176.

The previous prime is 120851. The next prime is 120863. The reversal of 120852 is 258021.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 15876 = 324^2 + 126^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120852.

It is not an unprimeable number, because it can be changed into a prime (120851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 138 + ... + 510.

2¹²⁰⁸⁵² is an apocalyptic number.

120852 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 120852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158389).

120852 is an abundant number, since it is smaller than the sum of its proper divisors (195926).

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

120852 is a wasteful number, since it uses less digits than its factorization.

120852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120852 is about 347.6377424849. The cubic root of 120852 is about 49.4407003388.

Adding to 120852 its reverse (258021), we get a palindrome (378873).

The spelling of 120852 in words is "one hundred twenty thousand, eight hundred fifty-two".