120078240 has 96 divisors (see below), whose sum is σ = 382294080. Its totient is φ = 31678464.

The previous prime is 120078229. The next prime is 120078263. The reversal of 120078240 is 42870021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120078240.

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 15 ways as a sum of consecutive naturals, for example, 45271 + ... + 47849.

It is an arithmetic number, because the mean of its divisors is an integer number (3982230).

Almost surely, 2^120078240 is an apocalyptic number.

120078240 is a gapful number since it is divisible by the number (10) 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 120078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191147040).

120078240 is an abundant number, since it is smaller than the sum of its proper divisors (262215840).

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

120078240 is a wasteful number, since it uses less digits than its factorization.

120078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 120078240 is about 10958.0217192703. The cubic root of 120078240 is about 493.3495895950.

The spelling of 120078240 in words is "one hundred twenty million, seventy-eight thousand, two hundred forty".