120200200001200 has 960 divisors, whose sum is σ = 338335595136000. Its totient is φ = 40623774105600.

The previous prime is 120200200001183. The next prime is 120200200001201. The reversal of 120200200001200 is 2100002002021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120200200001201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 238966600149 + ... + 238966600651.

It is an arithmetic number, because the mean of its divisors is an integer number (352432911600).

Almost surely, 2^{120200200001200} is an apocalyptic number.

120200200001200 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 120200200001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169167797568000).

120200200001200 is an abundant number, since it is smaller than the sum of its proper divisors (218135395134800).

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

120200200001200 is a wasteful number, since it uses less digits than its factorization.

120200200001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120200200001200 its reverse (2100002002021), we get a palindrome (122300202003221).

The spelling of 120200200001200 in words is "one hundred twenty trillion, two hundred billion, two hundred million, one thousand, two hundred".