120345600 has 132 divisors (see below), whose sum is σ = 398002304. Its totient is φ = 32071680.

The previous prime is 120345593. The next prime is 120345607. The reversal of 120345600 is 6543021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120345593) and next prime (120345607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120345607) 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, 76017 + ... + 77583.

Almost surely, 2^120345600 is an apocalyptic number.

120345600 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 120345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199001152).

120345600 is an abundant number, since it is smaller than the sum of its proper divisors (277656704).

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

120345600 is a wasteful number, since it uses less digits than its factorization.

120345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 120345600 is about 10970.2142185100. The cubic root of 120345600 is about 493.7154737381.

Adding to 120345600 its reverse (6543021), we get a palindrome (126888621).

The spelling of 120345600 in words is "one hundred twenty million, three hundred forty-five thousand, six hundred".