120366216 has 128 divisors (see below), whose sum is σ = 356160000. Its totient is φ = 37558080.

The previous prime is 120366203. The next prime is 120366227. The reversal of 120366216 is 612663021.

120366216 is a `hidden beast` number, since 1 + 2 + 0 + 36 + 621 + 6 = 666.

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 120366216.

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 31 ways as a sum of consecutive naturals, for example, 570351 + ... + 570561.

It is an arithmetic number, because the mean of its divisors is an integer number (2782500).

Almost surely, 2^120366216 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 120366216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178080000).

120366216 is an abundant number, since it is smaller than the sum of its proper divisors (235793784).

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

120366216 is a wasteful number, since it uses less digits than its factorization.

120366216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 120366216 is about 10971.1538135239. The cubic root of 120366216 is about 493.7436643742.

The spelling of 120366216 in words is "one hundred twenty million, three hundred sixty-six thousand, two hundred sixteen".