123412401322193 has 2 divisors, whose sum is σ = 123412401322194. Its totient is φ = 123412401322192.

The previous prime is 123412401322079. The next prime is 123412401322247. The reversal of 123412401322193 is 391223104214321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76338366775489 + 47074034546704 = 8737183^2 + 6861052^2 .

It is a cyclic number.

It is not a de Polignac number, because 123412401322193 - 2⁴⁰ = 122312889694417 is a prime.

It is a super-2 number, since 2×123412401322193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123412401321193) 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, 61706200661096 + 61706200661097.

It is an arithmetic number, because the mean of its divisors is an integer number (61706200661097).

Almost surely, 2^{123412401322193} is an apocalyptic number.

It is an amenable number.

123412401322193 is a deficient number, since it is larger than the sum of its proper divisors (1).

123412401322193 is an equidigital number, since it uses as much as digits as its factorization.

123412401322193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 123412401322193 in words is "one hundred twenty-three trillion, four hundred twelve billion, four hundred one million, three hundred twenty-two thousand, one hundred ninety-three".