122209008131808 has 864 divisors, whose sum is σ = 412324950465792. Its totient is φ = 34164832665600.

The previous prime is 122209008131803. The next prime is 122209008131869. The reversal of 122209008131808 is 808131800902221.

122209008131808 is a `hidden beast` number, since 122 + 209 + 0 + 0 + 8 + 1 + 318 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122209008131801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10798704966 + ... + 10798716282.

It is an arithmetic number, because the mean of its divisors is an integer number (477227951928).

Almost surely, 2^{122209008131808} is an apocalyptic number.

122209008131808 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 122209008131808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206162475232896).

122209008131808 is an abundant number, since it is smaller than the sum of its proper divisors (290115942333984).

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

122209008131808 is a wasteful number, since it uses less digits than its factorization.

122209008131808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 122209008131808 in words is "one hundred twenty-two trillion, two hundred nine billion, eight million, one hundred thirty-one thousand, eight hundred eight".