120393216 has 100 divisors (see below), whose sum is σ = 359465832. Its totient is φ = 40117248.

The previous prime is 120393211. The next prime is 120393223. The reversal of 120393216 is 612393021.

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 120393216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120393211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40021 + ... + 42923.

Almost surely, 2^120393216 is an apocalyptic number.

120393216 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 120393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179732916).

120393216 is an abundant number, since it is smaller than the sum of its proper divisors (239072616).

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

120393216 is an frugal number, since it uses more digits than its factorization.

120393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120393216 is about 10972.3842440921. The cubic root of 120393216 is about 493.7805797222.

The spelling of 120393216 in words is "one hundred twenty million, three hundred ninety-three thousand, two hundred sixteen".