122545626545221 has 24 divisors (see below), whose sum is σ = 136152794877120. Its totient is φ = 110203756481280.

The previous prime is 122545626545213. The next prime is 122545626545267.

It is a happy number.

122545626545221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122545626545221 - 2³ = 122545626545213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122545626545291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21993690 + ... + 26996548.

It is an arithmetic number, because the mean of its divisors is an integer number (5673033119880).

Almost surely, 2^{122545626545221} is an apocalyptic number.

122545626545221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122545626545221 is a deficient number, since it is larger than the sum of its proper divisors (13607168331899).

122545626545221 is a wasteful number, since it uses less digits than its factorization.

122545626545221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005065 (or 5005054 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 52.

The spelling of 122545626545221 in words is "one hundred twenty-two trillion, five hundred forty-five billion, six hundred twenty-six million, five hundred forty-five thousand, two hundred twenty-one".