120121222121333 has 2 divisors, whose sum is σ = 120121222121334. Its totient is φ = 120121222121332.

The previous prime is 120121222121287. The next prime is 120121222121401. The reversal of 120121222121333 is 333121222121021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119786742652369 + 334479468964 = 10944713^2 + 578342^2 .

It is a cyclic number.

It is not a de Polignac number, because 120121222121333 - 2²⁴ = 120121205344117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120121222621333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60060611060666 + 60060611060667.

It is an arithmetic number, because the mean of its divisors is an integer number (60060611060667).

Almost surely, 2^{120121222121333} is an apocalyptic number.

It is an amenable number.

120121222121333 is a deficient number, since it is larger than the sum of its proper divisors (1).

120121222121333 is an equidigital number, since it uses as much as digits as its factorization.

120121222121333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 120121222121333 its reverse (333121222121021), we get a palindrome (453242444242354).

The spelling of 120121222121333 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, three hundred thirty-three".