1200121220200 has 144 divisors (see below), whose sum is σ = 3247568487180. Its totient is φ = 411250775040.

The previous prime is 1200121220183. The next prime is 1200121220203. The reversal of 1200121220200 is 20221210021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 802038460356 + 398082759844 = 895566^2 + 630938^2 .

It is not an unprimeable number, because it can be changed into a prime (1200121220203) 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 35 ways as a sum of consecutive naturals, for example, 18911724 + ... + 18975076.

Almost surely, 2^{1200121220200} is an apocalyptic number.

1200121220200 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 1200121220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623784243590).

1200121220200 is an abundant number, since it is smaller than the sum of its proper divisors (2047447266980).

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

1200121220200 is a wasteful number, since it uses less digits than its factorization.

1200121220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65316 (or 65300 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1200121220200 its reverse (20221210021), we get a palindrome (1220342430221).

The spelling of 1200121220200 in words is "one trillion, two hundred billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".