12001233200041 has 2 divisors, whose sum is σ = 12001233200042. Its totient is φ = 12001233200040.

The previous prime is 12001233199987. The next prime is 12001233200093. The reversal of 12001233200041 is 14000233210021.

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., 8474270323600 + 3526962876441 = 2911060^2 + 1878021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12001233200041 is a prime.

It is a super-2 number, since 2×12001233200041² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001233199991 and 12001233200018.

It is not a weakly prime, because it can be changed into another prime (12001233200441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000616600020 + 6000616600021.

It is an arithmetic number, because the mean of its divisors is an integer number (6000616600021).

Almost surely, 2^{12001233200041} is an apocalyptic number.

It is an amenable number.

12001233200041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001233200041 is an equidigital number, since it uses as much as digits as its factorization.

12001233200041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12001233200041 its reverse (14000233210021), we get a palindrome (26001466410062).

The spelling of 12001233200041 in words is "twelve trillion, one billion, two hundred thirty-three million, two hundred thousand, forty-one".