122728608416 has 24 divisors (see below), whose sum is σ = 241722067860. Its totient is φ = 61338876928.

The previous prime is 122728608371. The next prime is 122728608427. The reversal of 122728608416 is 614806827221.

It can be written as a sum of positive squares in 2 ways, for example, as 77504332816 + 45224275600 = 278396^2 + 212660^2 .

It is a super-2 number, since 2×122728608416² (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 716051 + ... + 870738.

Almost surely, 2^122728608416 is an apocalyptic number.

122728608416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122728608416 is a deficient number, since it is larger than the sum of its proper divisors (118993459444).

122728608416 is a wasteful number, since it uses less digits than its factorization.

122728608416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589216 (or 1589208 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 122728608416 in words is "one hundred twenty-two billion, seven hundred twenty-eight million, six hundred eight thousand, four hundred sixteen".