120916224 has 216 divisors, whose sum is σ = 410696832. Its totient is φ = 33730560.

The previous prime is 120916199. The next prime is 120916231. The reversal of 120916224 is 422619021.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329289 + ... + 329655.

Almost surely, 2^120916224 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 120916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205348416).

120916224 is an abundant number, since it is smaller than the sum of its proper divisors (289780608).

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

120916224 is a wasteful number, since it uses less digits than its factorization.

120916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

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

The square root of 120916224 is about 10996.1913406415. The cubic root of 120916224 is about 494.4945682674.

The spelling of 120916224 in words is "one hundred twenty million, nine hundred sixteen thousand, two hundred twenty-four".