120020000200 has 96 divisors (see below), whose sum is σ = 281215829160. Its totient is φ = 47635660800.

The previous prime is 120020000173. The next prime is 120020000209. The reversal of 120020000200 is 2000020021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 69989956 + 119950010244 = 8366^2 + 346338^2 .

It is not an unprimeable number, because it can be changed into a prime (120020000209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26781960 + ... + 26786440.

Almost surely, 2^120020000200 is an apocalyptic number.

120020000200 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 120020000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140607914580).

120020000200 is an abundant number, since it is smaller than the sum of its proper divisors (161195828960).

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

120020000200 is a wasteful number, since it uses less digits than its factorization.

120020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 120020000200 its reverse (2000020021), we get a palindrome (122020020221).

The spelling of 120020000200 in words is "one hundred twenty billion, twenty million, two hundred", and thus it is an aban number.