120342200 has 96 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 41443200.

The previous prime is 120342197. The next prime is 120342223. The reversal of 120342200 is 2243021.

120342200 = T₄₆₁ + T₄₆₂ + ... + T₉₃₅.

120342200 = 2182² + 2183² + ... + 2206².

It is a congruent number.

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, 40361 + ... + 43239.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^120342200 is an apocalyptic number.

120342200 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 120342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

120342200 is an abundant number, since it is smaller than the sum of its proper divisors (201065800).

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

120342200 is a wasteful number, since it uses less digits than its factorization.

120342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 120342200 is about 10970.0592523468. The cubic root of 120342200 is about 493.7108242164.

Adding to 120342200 its reverse (2243021), we get a palindrome (122585221).

The spelling of 120342200 in words is "one hundred twenty million, three hundred forty-two thousand, two hundred".