123012242210401 has 2 divisors, whose sum is σ = 123012242210402. Its totient is φ = 123012242210400.

The previous prime is 123012242210381. The next prime is 123012242210423. The reversal of 123012242210401 is 104012242210321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79478651406400 + 43533590804001 = 8915080^2 + 6597999^2 .

It is a cyclic number.

It is not a de Polignac number, because 123012242210401 - 2⁹ = 123012242209889 is a prime.

It is a super-3 number, since 3×123012242210401³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (123012242210801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506121105200 + 61506121105201.

It is an arithmetic number, because the mean of its divisors is an integer number (61506121105201).

Almost surely, 2^{123012242210401} is an apocalyptic number.

It is an amenable number.

123012242210401 is a deficient number, since it is larger than the sum of its proper divisors (1).

123012242210401 is an equidigital number, since it uses as much as digits as its factorization.

123012242210401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 123012242210401 its reverse (104012242210321), we get a palindrome (227024484420722).

The spelling of 123012242210401 in words is "one hundred twenty-three trillion, twelve billion, two hundred forty-two million, two hundred ten thousand, four hundred one".