120456720 has 200 divisors, whose sum is σ = 433465560. Its totient is φ = 30965760.

The previous prime is 120456709. The next prime is 120456779. The reversal of 120456720 is 27654021.

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 85599504 = 5904^2 + 9252^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187600 + ... + 188240.

Almost surely, 2^120456720 is an apocalyptic number.

120456720 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 120456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216732780).

120456720 is an abundant number, since it is smaller than the sum of its proper divisors (313008840).

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

120456720 is a wasteful number, since it uses less digits than its factorization.

120456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120456720 is about 10975.2776730250. The cubic root of 120456720 is about 493.8673828697.

The spelling of 120456720 in words is "one hundred twenty million, four hundred fifty-six thousand, seven hundred twenty".