12001121120993 has 2 divisors, whose sum is σ = 12001121120994. Its totient is φ = 12001121120992.

The previous prime is 12001121120951. The next prime is 12001121121001. The reversal of 12001121120993 is 39902112110021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11350619188624 + 650501932369 = 3369068^2 + 806537^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001121120993 - 2¹⁸ = 12001120858849 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001121120393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000560560496 + 6000560560497.

It is an arithmetic number, because the mean of its divisors is an integer number (6000560560497).

Almost surely, 2^{12001121120993} is an apocalyptic number.

It is an amenable number.

12001121120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001121120993 is an equidigital number, since it uses as much as digits as its factorization.

12001121120993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 12001121120993 in words is "twelve trillion, one billion, one hundred twenty-one million, one hundred twenty thousand, nine hundred ninety-three".