120200000221200 has 60 divisors (see below), whose sum is σ = 385040667379088. Its totient is φ = 32053333392000.

The previous prime is 120200000221187. The next prime is 120200000221201. The reversal of 120200000221200 is 2122000002021.

120200000221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120200000221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50083332226 + ... + 50083334625.

Almost surely, 2^{120200000221200} is an apocalyptic number.

120200000221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200000221200 is an abundant number, since it is smaller than the sum of its proper divisors (264840667157888).

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

120200000221200 is a wasteful number, since it uses less digits than its factorization.

120200000221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100166666872 (or 100166666861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120200000221200 its reverse (2122000002021), we get a palindrome (122322000223221).

The spelling of 120200000221200 in words is "one hundred twenty trillion, two hundred billion, two hundred twenty-one thousand, two hundred".