122656735008 has 288 divisors, whose sum is σ = 378716083200. Its totient is φ = 37533888000.

The previous prime is 122656734923. The next prime is 122656735009. The reversal of 122656735008 is 800537656221.

122656735008 is a `hidden beast` number, since 1 + 2 + 26 + 56 + 73 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (122656735009) 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 47 ways as a sum of consecutive naturals, for example, 22919533 + ... + 22924883.

It is an arithmetic number, because the mean of its divisors is an integer number (1314986400).

Almost surely, 2^122656735008 is an apocalyptic number.

122656735008 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 122656735008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189358041600).

122656735008 is an abundant number, since it is smaller than the sum of its proper divisors (256059348192).

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

122656735008 is a wasteful number, since it uses less digits than its factorization.

122656735008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 122656735008 in words is "one hundred twenty-two billion, six hundred fifty-six million, seven hundred thirty-five thousand, eight".