120305200 has 60 divisors (see below), whose sum is σ = 293412520. Its totient is φ = 47403840.

The previous prime is 120305197. The next prime is 120305201. The reversal of 120305200 is 2503021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×120305200² = 28946682294080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120305201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795567 + ... + 1795633.

Almost surely, 2^120305200 is an apocalyptic number.

120305200 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 120305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146706260).

120305200 is an abundant number, since it is smaller than the sum of its proper divisors (173107320).

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

120305200 is an frugal number, since it uses more digits than its factorization.

120305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 74 counting only the distinct ones).

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

The square root of 120305200 is about 10968.3727143091. The cubic root of 120305200 is about 493.6602208178.

Adding to 120305200 its reverse (2503021), we get a palindrome (122808221).

The spelling of 120305200 in words is "one hundred twenty million, three hundred five thousand, two hundred".