122221220001121 has 16 divisors (see below), whose sum is σ = 125496602154000. Its totient is φ = 118959921561600.

The previous prime is 122221220001119. The next prime is 122221220001131. The reversal of 122221220001121 is 121100022122221.

It can be written as a sum of positive squares in 8 ways, for example, as 11365906424896 + 110855313576225 = 3371336^2 + 10528785^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221220001121 - 2¹ = 122221220001119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122221220001131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149829085 + ... + 150642613.

It is an arithmetic number, because the mean of its divisors is an integer number (7843537634625).

Almost surely, 2^{122221220001121} is an apocalyptic number.

It is an amenable number.

122221220001121 is a deficient number, since it is larger than the sum of its proper divisors (3275382152879).

122221220001121 is an equidigital number, since it uses as much as digits as its factorization.

122221220001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822180.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122221220001121 its reverse (121100022122221), we get a palindrome (243321242123342).

The spelling of 122221220001121 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, one thousand, one hundred twenty-one".