122523413415041 has 2 divisors, whose sum is σ = 122523413415042. Its totient is φ = 122523413415040.

The previous prime is 122523413415023. The next prime is 122523413415059. The reversal of 122523413415041 is 140514314325221.

It is a balanced prime because it is at equal distance from previous prime (122523413415023) and next prime (122523413415059).

It can be written as a sum of positive squares in only one way, i.e., 104892828558400 + 17630584856641 = 10241720^2 + 4198879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122523413415041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122523413414986 and 122523413415004.

It is not a weakly prime, because it can be changed into another prime (122523413415071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61261706707520 + 61261706707521.

It is an arithmetic number, because the mean of its divisors is an integer number (61261706707521).

Almost surely, 2^{122523413415041} is an apocalyptic number.

It is an amenable number.

122523413415041 is a deficient number, since it is larger than the sum of its proper divisors (1).

122523413415041 is an equidigital number, since it uses as much as digits as its factorization.

122523413415041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 122523413415041 in words is "one hundred twenty-two trillion, five hundred twenty-three billion, four hundred thirteen million, four hundred fifteen thousand, forty-one".