120600 has 72 divisors (see below), whose sum is σ = 411060. Its totient is φ = 31680.

The previous prime is 120587. The next prime is 120607. The reversal of 120600 is 6021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1767 + ... + 1833.

120600 is a Friedman number, since it can be written as 20100*6, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 201 ⋅ 600 (with its own digits).

2¹²⁰⁶⁰⁰ is an apocalyptic number.

120600 is a gapful number since it is divisible by the number (10) 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 120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205530).

120600 is an abundant number, since it is smaller than the sum of its proper divisors (290460).

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

120600 is a wasteful number, since it uses less digits than its factorization.

120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120600 is about 347.2751070837. The cubic root of 120600 is about 49.4063119233.

Adding to 120600 its reverse (6021), we get a palindrome (126621).

The spelling of 120600 in words is "one hundred twenty thousand, six hundred".