122412301121 has 32 divisors (see below), whose sum is σ = 138936107520. Its totient is φ = 106880716800.

The previous prime is 122412301111. The next prime is 122412301133. The reversal of 122412301121 is 121103214221.

It is a de Polignac number, because none of the positive numbers 2^k-122412301121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122412301093 and 122412301102.

It is not an unprimeable number, because it can be changed into a prime (122412301111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12572171 + ... + 12581903.

It is an arithmetic number, because the mean of its divisors is an integer number (4341753360).

Almost surely, 2^122412301121 is an apocalyptic number.

122412301121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122412301121 is a deficient number, since it is larger than the sum of its proper divisors (16523806399).

122412301121 is a wasteful number, since it uses less digits than its factorization.

122412301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122412301121 its reverse (121103214221), we get a palindrome (243515515342).

The spelling of 122412301121 in words is "one hundred twenty-two billion, four hundred twelve million, three hundred one thousand, one hundred twenty-one".