122141141221 has 32 divisors (see below), whose sum is σ = 142520083200. Its totient is φ = 103446604800.

The previous prime is 122141141219. The next prime is 122141141233.

122141141221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122141141221 - 2¹ = 122141141219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122141141192 and 122141141201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122141141201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7322631 + ... + 7339291.

It is an arithmetic number, because the mean of its divisors is an integer number (4453752600).

Almost surely, 2^122141141221 is an apocalyptic number.

122141141221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122141141221 is a deficient number, since it is larger than the sum of its proper divisors (20378941979).

122141141221 is a wasteful number, since it uses less digits than its factorization.

122141141221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17085.

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 122141 and 141221, that added together give a palindrome (263362).

The spelling of 122141141221 in words is "one hundred twenty-two billion, one hundred forty-one million, one hundred forty-one thousand, two hundred twenty-one".