122531626001 has 2 divisors, whose sum is σ = 122531626002. Its totient is φ = 122531626000.

The previous prime is 122531625973. The next prime is 122531626037. The reversal of 122531626001 is 100626135221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78871105600 + 43660520401 = 280840^2 + 208951^2 .

It is a cyclic number.

It is not a de Polignac number, because 122531626001 - 2¹⁴ = 122531609617 is a prime.

It is not a weakly prime, because it can be changed into another prime (122531626051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61265813000 + 61265813001.

It is an arithmetic number, because the mean of its divisors is an integer number (61265813001).

Almost surely, 2^122531626001 is an apocalyptic number.

It is an amenable number.

122531626001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122531626001 is an equidigital number, since it uses as much as digits as its factorization.

122531626001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 122531626001 in words is "one hundred twenty-two billion, five hundred thirty-one million, six hundred twenty-six thousand, one".