122055505056 has 72 divisors (see below), whose sum is σ = 347147888724. Its totient is φ = 40679009280.

The previous prime is 122055505027. The next prime is 122055505057. The reversal of 122055505056 is 650505550221.

122055505056 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 550 + 50 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112147293456 + 9908211600 = 334884^2 + 99540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122055505056.

It is not an unprimeable number, because it can be changed into a prime (122055505057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125036 + ... + 2181716.

Almost surely, 2^122055505056 is an apocalyptic number.

122055505056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122055505056 is an abundant number, since it is smaller than the sum of its proper divisors (225092383668).

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

122055505056 is a wasteful number, since it uses less digits than its factorization.

122055505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64174 (or 64163 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 122055505056 in words is "one hundred twenty-two billion, fifty-five million, five hundred five thousand, fifty-six".