122320141320221 has 32 divisors (see below), whose sum is σ = 136304344844640. Its totient is φ = 109045513728000.

The previous prime is 122320141320191. The next prime is 122320141320259. The reversal of 122320141320221 is 122023141023221.

It can be written as a sum of positive squares in 16 ways, for example, as 114354685005625 + 7965456314596 = 10693675^2 + 2822314^2 .

It is a cyclic number.

It is not a de Polignac number, because 122320141320221 - 2¹⁴ = 122320141303837 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 (122320141320521) 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 31 ways as a sum of consecutive naturals, for example, 285585401 + ... + 286013393.

It is an arithmetic number, because the mean of its divisors is an integer number (4259510776395).

Almost surely, 2^{122320141320221} is an apocalyptic number.

It is an amenable number.

122320141320221 is a deficient number, since it is larger than the sum of its proper divisors (13984203524419).

122320141320221 is a wasteful number, since it uses less digits than its factorization.

122320141320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433457.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 122320141320221 its reverse (122023141023221), we get a palindrome (244343282343442).

The spelling of 122320141320221 in words is "one hundred twenty-two trillion, three hundred twenty billion, one hundred forty-one million, three hundred twenty thousand, two hundred twenty-one".