120820 has 24 divisors (see below), whose sum is σ = 290304. Its totient is φ = 41376.

The previous prime is 120817. The next prime is 120823. The reversal of 120820 is 28021.

It is an interprime number because it is at equal distance from previous prime (120817) and next prime (120823).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 120820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹²⁰⁸²⁰ is an apocalyptic number.

120820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120820 is an abundant number, since it is smaller than the sum of its proper divisors (169484).

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

120820 is a wasteful number, since it uses less digits than its factorization.

120820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 120820 is about 347.5917145158. The cubic root of 120820 is about 49.4363362073.

Adding to 120820 its reverse (28021), we get a palindrome (148841).

The spelling of 120820 in words is "one hundred twenty thousand, eight hundred twenty".