122316558408 has 180 divisors, whose sum is σ = 376878185145. Its totient is φ = 37035947520.

The previous prime is 122316558391. The next prime is 122316558409. The reversal of 122316558408 is 804855613221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122316558408 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 65 + 584 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121300351524 + 1016206884 = 348282^2 + 31878^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247302.

It is a super-2 number, since 2×122316558408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122316558409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97930968 + ... + 97932216.

Almost surely, 2^122316558408 is an apocalyptic number.

122316558408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122316558408

122316558408 is an abundant number, since it is smaller than the sum of its proper divisors (254561626737).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122316558408 is an equidigital number, since it uses as much as digits as its factorization.

122316558408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 122316558408 in words is "one hundred twenty-two billion, three hundred sixteen million, five hundred fifty-eight thousand, four hundred eight".