120054 has 32 divisors (see below), whose sum is σ = 279936. Its totient is φ = 33920.

The previous prime is 120049. The next prime is 120067. The reversal of 120054 is 450021.

120054 is a modest number, since divided by 54 gives 12 as remainder.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

120054 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 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (8748).

2¹²⁰⁰⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968).

120054 is an abundant number, since it is smaller than the sum of its proper divisors (159882).

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

120054 is a wasteful number, since it uses less digits than its factorization.

120054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

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

The square root of 120054 is about 346.4880950336. The cubic root of 120054 is about 49.3316390133.

Adding to 120054 its reverse (450021), we get a palindrome (570075).

The spelling of 120054 in words is "one hundred twenty thousand, fifty-four".