121233120329933 has 2 divisors, whose sum is σ = 121233120329934. Its totient is φ = 121233120329932.

The previous prime is 121233120329917. The next prime is 121233120330019. The reversal of 121233120329933 is 339923021332121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89838132976804 + 31394987353129 = 9478298^2 + 5603123^2 .

It is a cyclic number.

It is not a de Polignac number, because 121233120329933 - 2⁴ = 121233120329917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121233020329933) 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 as a sum of consecutive naturals, namely, 60616560164966 + 60616560164967.

It is an arithmetic number, because the mean of its divisors is an integer number (60616560164967).

Almost surely, 2^{121233120329933} is an apocalyptic number.

It is an amenable number.

121233120329933 is a deficient number, since it is larger than the sum of its proper divisors (1).

121233120329933 is an equidigital number, since it uses as much as digits as its factorization.

121233120329933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 44.

The spelling of 121233120329933 in words is "one hundred twenty-one trillion, two hundred thirty-three billion, one hundred twenty million, three hundred twenty-nine thousand, nine hundred thirty-three".