120205200 has 120 divisors (see below), whose sum is σ = 389012800. Its totient is φ = 31726080.

The previous prime is 120205187. The next prime is 120205247. The reversal of 120205200 is 2502021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 130341 + ... + 131259.

Almost surely, 2^120205200 is an apocalyptic number.

120205200 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 120205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194506400).

120205200 is an abundant number, since it is smaller than the sum of its proper divisors (268807600).

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

120205200 is a wasteful number, since it uses less digits than its factorization.

120205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 120205200 is about 10963.8132052676. The cubic root of 120205200 is about 493.5234029402.

Adding to 120205200 its reverse (2502021), we get a palindrome (122707221).

The spelling of 120205200 in words is "one hundred twenty million, two hundred five thousand, two hundred".