120132200 has 96 divisors (see below), whose sum is σ = 299813400. Its totient is φ = 44605440.

The previous prime is 120132191. The next prime is 120132203. The reversal of 120132200 is 2231021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11847364 + 108284836 = 3442^2 + 10406^2 .

It is not an unprimeable number, because it can be changed into a prime (120132203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302402 + ... + 302798.

Almost surely, 2^120132200 is an apocalyptic number.

120132200 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 120132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149906700).

120132200 is an abundant number, since it is smaller than the sum of its proper divisors (179681200).

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

120132200 is a wasteful number, since it uses less digits than its factorization.

120132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

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

The square root of 120132200 is about 10960.4835659746. The cubic root of 120132200 is about 493.4234779676.

Adding to 120132200 its reverse (2231021), we get a palindrome (122363221).

The spelling of 120132200 in words is "one hundred twenty million, one hundred thirty-two thousand, two hundred".