120312200 has 48 divisors (see below), whose sum is σ = 281150160. Its totient is φ = 47880000.

The previous prime is 120312193. The next prime is 120312217. The reversal of 120312200 is 2213021.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 40775 + ... + 43625.

It is an arithmetic number, because the mean of its divisors is an integer number (5857295).

Almost surely, 2^120312200 is an apocalyptic number.

120312200 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 120312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140575080).

120312200 is an abundant number, since it is smaller than the sum of its proper divisors (160837960).

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

120312200 is a wasteful number, since it uses less digits than its factorization.

120312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120312200 is about 10968.6918089625. The cubic root of 120312200 is about 493.6697952295.

Adding to 120312200 its reverse (2213021), we get a palindrome (122525221).

The spelling of 120312200 in words is "one hundred twenty million, three hundred twelve thousand, two hundred".