120849216 has 56 divisors (see below), whose sum is σ = 321746880. Its totient is φ = 40031232.

The previous prime is 120849193. The next prime is 120849247. The reversal of 120849216 is 612948021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30180 + ... + 33948.

It is an arithmetic number, because the mean of its divisors is an integer number (5745480).

Almost surely, 2^120849216 is an apocalyptic number.

120849216 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 120849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160873440).

120849216 is an abundant number, since it is smaller than the sum of its proper divisors (200897664).

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

120849216 is a wasteful number, since it uses less digits than its factorization.

120849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 120849216 is about 10993.1440452675. The cubic root of 120849216 is about 494.4032068999.

The spelling of 120849216 in words is "one hundred twenty million, eight hundred forty-nine thousand, two hundred sixteen".