122656330368 has 384 divisors, whose sum is σ = 415885579200. Its totient is φ = 34208317440.

The previous prime is 122656330361. The next prime is 122656330387. The reversal of 122656330368 is 863033656221.

122656330368 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 633 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (122656330361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69023496 + ... + 69025272.

Almost surely, 2^122656330368 is an apocalyptic number.

122656330368 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 122656330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207942789600).

122656330368 is an abundant number, since it is smaller than the sum of its proper divisors (293229248832).

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

122656330368 is a wasteful number, since it uses less digits than its factorization.

122656330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 122656330368 its reverse (863033656221), we get a palindrome (985689986589).

The spelling of 122656330368 in words is "one hundred twenty-two billion, six hundred fifty-six million, three hundred thirty thousand, three hundred sixty-eight".