12112121007953 has 2 divisors, whose sum is σ = 12112121007954. Its totient is φ = 12112121007952.

The previous prime is 12112121007947. The next prime is 12112121007983. The reversal of 12112121007953 is 35970012121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9080507238544 + 3031613769409 = 3013388^2 + 1741153^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112121007953 - 2⁴ = 12112121007937 is a prime.

It is a super-2 number, since 2×12112121007953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12112121007983) 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, 6056060503976 + 6056060503977.

It is an arithmetic number, because the mean of its divisors is an integer number (6056060503977).

Almost surely, 2^{12112121007953} is an apocalyptic number.

It is an amenable number.

12112121007953 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112121007953 is an equidigital number, since it uses as much as digits as its factorization.

12112121007953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 35.

The spelling of 12112121007953 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, seven thousand, nine hundred fifty-three".