122272601272721 has 2 divisors, whose sum is σ = 122272601272722. Its totient is φ = 122272601272720.

The previous prime is 122272601272691. The next prime is 122272601272727. The reversal of 122272601272721 is 127272106272221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83001210250000 + 39271391022721 = 9110500^2 + 6266689^2 .

It is a cyclic number.

It is not a de Polignac number, because 122272601272721 - 2¹⁸ = 122272601010577 is a prime.

It is not a weakly prime, because it can be changed into another prime (122272601272727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61136300636360 + 61136300636361.

It is an arithmetic number, because the mean of its divisors is an integer number (61136300636361).

Almost surely, 2^{122272601272721} is an apocalyptic number.

It is an amenable number.

122272601272721 is a deficient number, since it is larger than the sum of its proper divisors (1).

122272601272721 is an equidigital number, since it uses as much as digits as its factorization.

122272601272721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 122272601272721 in words is "one hundred twenty-two trillion, two hundred seventy-two billion, six hundred one million, two hundred seventy-two thousand, seven hundred twenty-one".