120352000 has 72 divisors (see below), whose sum is σ = 299891592. Its totient is φ = 48128000.

The previous prime is 120351991. The next prime is 120352039. The reversal of 120352000 is 253021.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 113550336 = 2608^2 + 10656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30120 + ... + 33880.

It is an arithmetic number, because the mean of its divisors is an integer number (4165161).

Almost surely, 2^120352000 is an apocalyptic number.

120352000 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 120352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149945796).

120352000 is an abundant number, since it is smaller than the sum of its proper divisors (179539592).

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

120352000 is an frugal number, since it uses more digits than its factorization.

120352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 120352000 is about 10970.5059135848. The cubic root of 120352000 is about 493.7242255413.

The spelling of 120352000 in words is "one hundred twenty million, three hundred fifty-two thousand".