120362720 has 144 divisors (see below), whose sum is σ = 320286960. Its totient is φ = 42614784.

The previous prime is 120362659. The next prime is 120362743. The reversal of 120362720 is 27263021.

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 23 ways as a sum of consecutive naturals, for example, 878492 + ... + 878628.

It is an arithmetic number, because the mean of its divisors is an integer number (2224215).

Almost surely, 2^120362720 is an apocalyptic number.

120362720 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 120362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160143480).

120362720 is an abundant number, since it is smaller than the sum of its proper divisors (199924240).

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

120362720 is a wasteful number, since it uses less digits than its factorization.

120362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 120362720 is about 10970.9944854603. The cubic root of 120362720 is about 493.7388841166.

The spelling of 120362720 in words is "one hundred twenty million, three hundred sixty-two thousand, seven hundred twenty".