122541628511721 has 16 divisors (see below), whose sum is σ = 163452532725440. Its totient is φ = 81662573079360.

The previous prime is 122541628511693. The next prime is 122541628511747. The reversal of 122541628511721 is 127115826145221.

It is a happy number.

It is not a de Polignac number, because 122541628511721 - 2⁵ = 122541628511689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122541628515721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401869911 + ... + 402174723.

It is an arithmetic number, because the mean of its divisors is an integer number (10215783295340).

Almost surely, 2^{122541628511721} is an apocalyptic number.

It is an amenable number.

122541628511721 is a deficient number, since it is larger than the sum of its proper divisors (40910904213719).

122541628511721 is a wasteful number, since it uses less digits than its factorization.

122541628511721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356616.

The product of its digits is 537600, while the sum is 48.

The spelling of 122541628511721 in words is "one hundred twenty-two trillion, five hundred forty-one billion, six hundred twenty-eight million, five hundred eleven thousand, seven hundred twenty-one".