120442100200 has 96 divisors (see below), whose sum is σ = 287249661720. Its totient is φ = 46937600000.

The previous prime is 120442100183. The next prime is 120442100249. The reversal of 120442100200 is 2001244021.

It can be written as a sum of positive squares in 12 ways, for example, as 15431105284 + 105010994916 = 124222^2 + 324054^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6230550 + ... + 6249850.

Almost surely, 2^120442100200 is an apocalyptic number.

120442100200 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 120442100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143624830860).

120442100200 is an abundant number, since it is smaller than the sum of its proper divisors (166807561520).

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

120442100200 is a wasteful number, since it uses less digits than its factorization.

120442100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120442100200 its reverse (2001244021), we get a palindrome (122443344221).

The spelling of 120442100200 in words is "one hundred twenty billion, four hundred forty-two million, one hundred thousand, two hundred".