122322444223221 has 36 divisors (see below), whose sum is σ = 199459688605996. Its totient is φ = 72131171016960.

The previous prime is 122322444223219. The next prime is 122322444223223.

It is a happy number.

122322444223221 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 2 + 4 + 4 + 422 + 3 + 221 = 666.

122322444223221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (122322444223219) and next prime (122322444223223).

It can be written as a sum of positive squares in 2 ways, for example, as 111297647052900 + 11024797170321 = 10549770^2 + 3320361^2 .

It is not a de Polignac number, because 122322444223221 - 2¹ = 122322444223219 is a prime.

It is a super-2 number, since 2×122322444223221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322444223223) 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 35 ways as a sum of consecutive naturals, for example, 1517871556 + ... + 1517952141.

Almost surely, 2^{122322444223221} is an apocalyptic number.

122322444223221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122322444223221 is a deficient number, since it is larger than the sum of its proper divisors (77137244382775).

122322444223221 is a wasteful number, since it uses less digits than its factorization.

122322444223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035823762 (or 3035823748 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 122322444223221 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, four hundred forty-four million, two hundred twenty-three thousand, two hundred twenty-one".