123061444362541 has 2 divisors, whose sum is σ = 123061444362542. Its totient is φ = 123061444362540.

The previous prime is 123061444362509. The next prime is 123061444362557. The reversal of 123061444362541 is 145263444160321.

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., 76483945160100 + 46577499202441 = 8745510^2 + 6824771^2 .

It is a cyclic number.

It is not a de Polignac number, because 123061444362541 - 2⁵ = 123061444362509 is a prime.

It is a super-3 number, since 3×123061444362541³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123061444362491 and 123061444362500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123061414362541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61530722181270 + 61530722181271.

It is an arithmetic number, because the mean of its divisors is an integer number (61530722181271).

Almost surely, 2^{123061444362541} is an apocalyptic number.

It is an amenable number.

123061444362541 is a deficient number, since it is larger than the sum of its proper divisors (1).

123061444362541 is an equidigital number, since it uses as much as digits as its factorization.

123061444362541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 123061444362541 in words is "one hundred twenty-three trillion, sixty-one billion, four hundred forty-four million, three hundred sixty-two thousand, five hundred forty-one".