1200220121113 has 16 divisors (see below), whose sum is σ = 1304138835216. Its totient is φ = 1097960048640.

The previous prime is 1200220121059. The next prime is 1200220121137. The reversal of 1200220121113 is 3111210220021.

It can be written as a sum of positive squares in 8 ways, for example, as 960719506569 + 239500614544 = 980163^2 + 489388^2 .

It is not a de Polignac number, because 1200220121113 - 2¹⁷ = 1200219990041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200220121413) 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 15 ways as a sum of consecutive naturals, for example, 13554403 + ... + 13642663.

It is an arithmetic number, because the mean of its divisors is an integer number (81508677201).

Almost surely, 2^{1200220121113} is an apocalyptic number.

1200220121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1200220121113 is a deficient number, since it is larger than the sum of its proper divisors (103918714103).

1200220121113 is a wasteful number, since it uses less digits than its factorization.

1200220121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97644.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1200220121113 its reverse (3111210220021), we get a palindrome (4311430341134).

The spelling of 1200220121113 in words is "one trillion, two hundred billion, two hundred twenty million, one hundred twenty-one thousand, one hundred thirteen".