120054816 has 288 divisors, whose sum is σ = 430230528. Its totient is φ = 30965760.

The previous prime is 120054811. The next prime is 120054817. The reversal of 120054816 is 618450021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 120054816.

It is not an unprimeable number, because it can be changed into a prime (120054811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062376 + ... + 1062488.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^120054816 is an apocalyptic number.

120054816 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 120054816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264).

120054816 is an abundant number, since it is smaller than the sum of its proper divisors (310175712).

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

120054816 is a wasteful number, since it uses less digits than its factorization.

120054816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120054816 is about 10956.9528610832. The cubic root of 120054816 is about 493.3175078115.

The spelling of 120054816 in words is "one hundred twenty million, fifty-four thousand, eight hundred sixteen".