120730000 has 50 divisors (see below), whose sum is σ = 292323614. Its totient is φ = 48288000.

The previous prime is 120729977. The next prime is 120730003. The reversal of 120730000 is 37021.

It can be written as a sum of positive squares in 5 ways, for example, as 85303696 + 35426304 = 9236^2 + 5952^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (120730003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 3964 + ... + 16036.

Almost surely, 2^120730000 is an apocalyptic number.

120730000 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 120730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146161807).

120730000 is an abundant number, since it is smaller than the sum of its proper divisors (171593614).

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

120730000 is an equidigital number, since it uses as much as digits as its factorization.

120730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 120730000 is about 10987.7204187220. The cubic root of 120730000 is about 494.2405795458.

Adding to 120730000 its reverse (37021), we get a palindrome (120767021).

The spelling of 120730000 in words is "one hundred twenty million, seven hundred thirty thousand".