120016 has 20 divisors (see below), whose sum is σ = 250852. Its totient is φ = 55296.

The previous prime is 120011. The next prime is 120017. The reversal of 120016 is 610021.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 41616 = 280^2 + 204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 119984 and 120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011) by changing a digit.

120016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 496.

2¹²⁰⁰¹⁶ is an apocalyptic number.

120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120016 is an abundant number, since it is smaller than the sum of its proper divisors (130836).

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

120016 is a wasteful number, since it uses less digits than its factorization.

120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120016 is about 346.4332547548. The cubic root of 120016 is about 49.3264335777.

Adding to 120016 its reverse (610021), we get a palindrome (730037).

The spelling of 120016 in words is "one hundred twenty thousand, sixteen".