122766071072 has 54 divisors (see below), whose sum is σ = 252754959177. Its totient is φ = 58692405376.

The previous prime is 122766070951. The next prime is 122766071083. The reversal of 122766071072 is 270170667221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 121770289936 + 995781136 = 348956^2 + 31556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247756.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45585758 + ... + 45588450.

Almost surely, 2^122766071072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122766071072

122766071072 is an abundant number, since it is smaller than the sum of its proper divisors (129988888105).

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

122766071072 is an frugal number, since it uses more digits than its factorization.

122766071072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 122766071072 in words is "one hundred twenty-two billion, seven hundred sixty-six million, seventy-one thousand, seventy-two".