122741205156 has 36 divisors (see below), whose sum is σ = 314512668652. Its totient is φ = 40353272064.

The previous prime is 122741205143. The next prime is 122741205161. The reversal of 122741205156 is 651502147221.

122741205156 is a `hidden beast` number, since 1 + 227 + 412 + 0 + 5 + 15 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97194297600 + 25546907556 = 311760^2 + 159834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 122741205156.

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 11 ways as a sum of consecutive naturals, for example, 23349961 + ... + 23355216.

Almost surely, 2^122741205156 is an apocalyptic number.

It is an amenable number.

122741205156 is an abundant number, since it is smaller than the sum of its proper divisors (191771463496).

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

122741205156 is a wasteful number, since it uses less digits than its factorization.

122741205156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46705260 (or 46705255 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 122741205156 in words is "one hundred twenty-two billion, seven hundred forty-one million, two hundred five thousand, one hundred fifty-six".