122334141433221 has 12 divisors (see below), whose sum is σ = 176802985847020. Its totient is φ = 81510810494400.

The previous prime is 122334141433139. The next prime is 122334141433291.

122334141433221 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 414 + 14 + 3 + 3 + 221 = 666.

122334141433221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21178542060225 + 101155599372996 = 4602015^2 + 10057614^2 .

It is not a de Polignac number, because 122334141433221 - 2¹⁵ = 122334141400453 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 (122334141433291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3773632426 + ... + 3773664843.

Almost surely, 2^{122334141433221} is an apocalyptic number.

It is an amenable number.

122334141433221 is a deficient number, since it is larger than the sum of its proper divisors (54468844413799).

122334141433221 is a wasteful number, since it uses less digits than its factorization.

122334141433221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547299076 (or 7547299073 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 122334141433221 in words is "one hundred twenty-two trillion, three hundred thirty-four billion, one hundred forty-one million, four hundred thirty-three thousand, two hundred twenty-one".