125667072705121 has 2 divisors, whose sum is σ = 125667072705122. Its totient is φ = 125667072705120.

The previous prime is 125667072705019. The next prime is 125667072705143. The reversal of 125667072705121 is 121507270766521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112918145427025 + 12748927278096 = 10626295^2 + 3570564^2 .

It is a cyclic number.

It is not a de Polignac number, because 125667072705121 - 2⁷ = 125667072704993 is a prime.

It is not a weakly prime, because it can be changed into another prime (125667072705151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62833536352560 + 62833536352561.

It is an arithmetic number, because the mean of its divisors is an integer number (62833536352561).

Almost surely, 2^{125667072705121} is an apocalyptic number.

It is an amenable number.

125667072705121 is a deficient number, since it is larger than the sum of its proper divisors (1).

125667072705121 is an equidigital number, since it uses as much as digits as its factorization.

125667072705121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 125667072705121 in words is "one hundred twenty-five trillion, six hundred sixty-seven billion, seventy-two million, seven hundred five thousand, one hundred twenty-one".