122182281221 has 64 divisors (see below), whose sum is σ = 173842454016. Its totient is φ = 82645401600.

The previous prime is 122182281173. The next prime is 122182281223.

122182281221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122182281221 - 2¹⁰ = 122182280197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122182281223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28807661 + ... + 28811901.

It is an arithmetic number, because the mean of its divisors is an integer number (2716288344).

Almost surely, 2^122182281221 is an apocalyptic number.

122182281221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122182281221 is a deficient number, since it is larger than the sum of its proper divisors (51660172795).

122182281221 is a wasteful number, since it uses less digits than its factorization.

122182281221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982.

The product of its digits is 4096, while the sum is 32.

The spelling of 122182281221 in words is "one hundred twenty-two billion, one hundred eighty-two million, two hundred eighty-one thousand, two hundred twenty-one".