120004416 has 140 divisors (see below), whose sum is σ = 406672288. Its totient is φ = 34276608.

The previous prime is 120004393. The next prime is 120004421. The reversal of 120004416 is 614400021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34635 + ... + 37941.

Almost surely, 2^120004416 is an apocalyptic number.

120004416 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 120004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203336144).

120004416 is an abundant number, since it is smaller than the sum of its proper divisors (286667872).

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

120004416 is an equidigital number, since it uses as much as digits as its factorization.

120004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120004416 is about 10954.6527101501. The cubic root of 120004416 is about 493.2484652322.

Adding to 120004416 its reverse (614400021), we get a palindrome (734404437).

The spelling of 120004416 in words is "one hundred twenty million, four thousand, four hundred sixteen".