122304059136 has 720 divisors, whose sum is σ = 446528642560. Its totient is φ = 32517365760.

The previous prime is 122304059083. The next prime is 122304059149. The reversal of 122304059136 is 631950403221.

122304059136 is a `hidden beast` number, since 1 + 2 + 2 + 30 + 4 + 0 + 591 + 36 = 666.

It is a super-2 number, since 2×122304059136² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122304059136.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 168230805 + ... + 168231531.

Almost surely, 2^122304059136 is an apocalyptic number.

122304059136 is a gapful number since it is divisible by the number (16) 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 122304059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223264321280).

122304059136 is an abundant number, since it is smaller than the sum of its proper divisors (324224583424).

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

122304059136 is an equidigital number, since it uses as much as digits as its factorization.

122304059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 122304059136 in words is "one hundred twenty-two billion, three hundred four million, fifty-nine thousand, one hundred thirty-six".