120609216 has 336 divisors, whose sum is σ = 446227200. Its totient is φ = 31269888.

The previous prime is 120609197. The next prime is 120609239. The reversal of 120609216 is 612906021.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 120609216.

It is a congruent number.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 2044195 + ... + 2044253.

Almost surely, 2^120609216 is an apocalyptic number.

120609216 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 120609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223113600).

120609216 is an abundant number, since it is smaller than the sum of its proper divisors (325617984).

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

120609216 is a wasteful number, since it uses less digits than its factorization.

120609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

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

The square root of 120609216 is about 10982.2227258420. Note that the first 3 decimals coincide. The cubic root of 120609216 is about 494.0757040028.

The spelling of 120609216 in words is "one hundred twenty million, six hundred nine thousand, two hundred sixteen".