120816 has 30 divisors (see below), whose sum is σ = 338520. Its totient is φ = 40224.

The previous prime is 120811. The next prime is 120817. The reversal of 120816 is 618021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120811) by changing a digit.

120816 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 5 ways as a sum of consecutive naturals, for example, 276 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2¹²⁰⁸¹⁶ is an apocalyptic number.

120816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120816 is an abundant number, since it is smaller than the sum of its proper divisors (217704).

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

120816 is a wasteful number, since it uses less digits than its factorization.

120816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120816 is about 347.5859605910. The cubic root of 120816 is about 49.4357906367.

Adding to 120816 its reverse (618021), we get a palindrome (738837).

The spelling of 120816 in words is "one hundred twenty thousand, eight hundred sixteen".