122133626331221 has 8 divisors (see below), whose sum is σ = 127254088466400. Its totient is φ = 117073761381360.

The previous prime is 122133626331131. The next prime is 122133626331251.

122133626331221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122133626331221 - 2³⁸ = 121858748424277 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 (122133626331251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15149292215 + ... + 15149300276.

It is an arithmetic number, because the mean of its divisors is an integer number (15906761058300).

Almost surely, 2^{122133626331221} is an apocalyptic number.

It is an amenable number.

122133626331221 is a deficient number, since it is larger than the sum of its proper divisors (5120462135179).

122133626331221 is a wasteful number, since it uses less digits than its factorization.

122133626331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30298592659.

The product of its digits is 93312, while the sum is 38.

The spelling of 122133626331221 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, six hundred twenty-six million, three hundred thirty-one thousand, two hundred twenty-one".