120039200 has 72 divisors (see below), whose sum is σ = 295020180. Its totient is φ = 47692800.

The previous prime is 120039191. The next prime is 120039209. The reversal of 120039200 is 2930021.

It is an interprime number because it is at equal distance from previous prime (120039191) and next prime (120039209).

It can be written as a sum of positive squares in 6 ways, for example, as 13454224 + 106584976 = 3668^2 + 10324^2 .

It is not an unprimeable number, because it can be changed into a prime (120039209) by changing a digit.

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, 144386 + ... + 145214.

Almost surely, 2^120039200 is an apocalyptic number.

120039200 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 120039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147510090).

120039200 is an abundant number, since it is smaller than the sum of its proper divisors (174980980).

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

120039200 is a wasteful number, since it uses less digits than its factorization.

120039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 120039200 is about 10956.2402310282. The cubic root of 120039200 is about 493.2961176374.

Adding to 120039200 its reverse (2930021), we get a palindrome (122969221).

The spelling of 120039200 in words is "one hundred twenty million, thirty-nine thousand, two hundred".