120294216 has 96 divisors (see below), whose sum is σ = 380016000. Its totient is φ = 34362720.

The previous prime is 120294199. The next prime is 120294217. The reversal of 120294216 is 612492021.

It is a self number, because there is not a number n which added to its sum of digits gives 120294216.

It is not an unprimeable number, because it can be changed into a prime (120294217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22261 + ... + 27131.

It is an arithmetic number, because the mean of its divisors is an integer number (3958500).

Almost surely, 2^120294216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120294216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190008000).

120294216 is an abundant number, since it is smaller than the sum of its proper divisors (259721784).

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

120294216 is a wasteful number, since it uses less digits than its factorization.

120294216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120294216 is about 10967.8719905003. The cubic root of 120294216 is about 493.6451964495.

The spelling of 120294216 in words is "one hundred twenty million, two hundred ninety-four thousand, two hundred sixteen".