122983984008 has 96 divisors (see below), whose sum is σ = 336708978840. Its totient is φ = 40549017600.

The previous prime is 122983984003. The next prime is 122983984087. The reversal of 122983984008 is 800489389221.

122983984008 is a `hidden beast` number, since 1 + 229 + 8 + 3 + 9 + 8 + 400 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118417197924 + 4566786084 = 344118^2 + 67578^2 .

It is not an unprimeable number, because it can be changed into a prime (122983984003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7940560 + ... + 7956032.

Almost surely, 2^122983984008 is an apocalyptic number.

122983984008 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 122983984008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168354489420).

122983984008 is an abundant number, since it is smaller than the sum of its proper divisors (213724994832).

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

122983984008 is a wasteful number, since it uses less digits than its factorization.

122983984008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679 (or 16672 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 122983984008 in words is "one hundred twenty-two billion, nine hundred eighty-three million, nine hundred eighty-four thousand, eight".