122397518668608 has 336 divisors, whose sum is σ = 360815738250240. Its totient is φ = 39651131520000.

The previous prime is 122397518668591. The next prime is 122397518668619. The reversal of 122397518668608 is 806866815793221.

122397518668608 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 9 + 7 + 5 + 1 + 8 + 6 + 6 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249141623 + ... + 2249196041.

It is an arithmetic number, because the mean of its divisors is an integer number (1073856363840).

Almost surely, 2^{122397518668608} is an apocalyptic number.

122397518668608 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 122397518668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180407869125120).

122397518668608 is an abundant number, since it is smaller than the sum of its proper divisors (238418219581632).

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

122397518668608 is a wasteful number, since it uses less digits than its factorization.

122397518668608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55066 (or 55053 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 122397518668608 in words is "one hundred twenty-two trillion, three hundred ninety-seven billion, five hundred eighteen million, six hundred sixty-eight thousand, six hundred eight".