122335312608 has 192 divisors, whose sum is σ = 363304872000. Its totient is φ = 40038727680.

The previous prime is 122335312579. The next prime is 122335312609. The reversal of 122335312608 is 806213533221.

122335312608 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 35 + 3 + 12 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122335312609) 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 31 ways as a sum of consecutive naturals, for example, 35468068 + ... + 35471516.

It is an arithmetic number, because the mean of its divisors is an integer number (1892212875).

Almost surely, 2^122335312608 is an apocalyptic number.

122335312608 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 122335312608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181652436000).

122335312608 is an abundant number, since it is smaller than the sum of its proper divisors (240969559392).

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

122335312608 is a wasteful number, since it uses less digits than its factorization.

122335312608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 122335312608 its reverse (806213533221), we get a palindrome (928548845829).

The spelling of 122335312608 in words is "one hundred twenty-two billion, three hundred thirty-five million, three hundred twelve thousand, six hundred eight".