120216096 has 384 divisors, whose sum is σ = 474163200. Its totient is φ = 28615680.

The previous prime is 120216091. The next prime is 120216113. The reversal of 120216096 is 690612021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120216091) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 864795 + ... + 864933.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^120216096 is an apocalyptic number.

120216096 is a gapful number since it is divisible by the number (16) 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 120216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

120216096 is an abundant number, since it is smaller than the sum of its proper divisors (353947104).

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

120216096 is a wasteful number, since it uses less digits than its factorization.

120216096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120216096 is about 10964.3101014154. The cubic root of 120216096 is about 493.5383142988.

The spelling of 120216096 in words is "one hundred twenty million, two hundred sixteen thousand, ninety-six".