120130000 has 100 divisors (see below), whose sum is σ = 298957428. Its totient is φ = 46720000.

The previous prime is 120129983. The next prime is 120130001. The reversal of 120130000 is 31021.

It can be written as a sum of positive squares in 10 ways, for example, as 93006736 + 27123264 = 9644^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120130001) 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 19 ways as a sum of consecutive naturals, for example, 409854 + ... + 410146.

Almost surely, 2^120130000 is an apocalyptic number.

120130000 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 120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149478714).

120130000 is an abundant number, since it is smaller than the sum of its proper divisors (178827428).

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

120130000 is an equidigital number, since it uses as much as digits as its factorization.

120130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 120130000 is about 10960.3832049797. The cubic root of 120130000 is about 493.4204659018.

Adding to 120130000 its reverse (31021), we get a palindrome (120161021).

The spelling of 120130000 in words is "one hundred twenty million, one hundred thirty thousand".