122169303961221 has 48 divisors (see below), whose sum is σ = 183966583953152. Its totient is φ = 72009348935040.

The previous prime is 122169303961213. The next prime is 122169303961241.

122169303961221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122169303961221 - 2³ = 122169303961213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122169303961241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28728051 + ... + 32705343.

Almost surely, 2^{122169303961221} is an apocalyptic number.

122169303961221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122169303961221 is a deficient number, since it is larger than the sum of its proper divisors (61797279991931).

122169303961221 is a wasteful number, since it uses less digits than its factorization.

122169303961221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979642 (or 3979631 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 122169303961221 in words is "one hundred twenty-two trillion, one hundred sixty-nine billion, three hundred three million, nine hundred sixty-one thousand, two hundred twenty-one".