122806430208 has 560 divisors, whose sum is σ = 458776904256. Its totient is φ = 31890309120.

The previous prime is 122806430177. The next prime is 122806430231. The reversal of 122806430208 is 802034608221.

122806430208 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 0 + 643 + 0 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28737960 + ... + 28742232.

Almost surely, 2^122806430208 is an apocalyptic number.

122806430208 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 122806430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229388452128).

122806430208 is an abundant number, since it is smaller than the sum of its proper divisors (335970474048).

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

122806430208 is an frugal number, since it uses more digits than its factorization.

122806430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 122806430208 in words is "one hundred twenty-two billion, eight hundred six million, four hundred thirty thousand, two hundred eight".