122841838144 has 63 divisors (see below), whose sum is σ = 246118043577. Its totient is φ = 60833501184.

The previous prime is 122841838117. The next prime is 122841838159. The reversal of 122841838144 is 441838148221.

The square root of 122841838144 is 350488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29763150400 + 93078687744 = 172520^2 + 305088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122841838094 and 122841838103.

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, 541153359 + ... + 541153585.

Almost surely, 2^122841838144 is an apocalyptic number.

122841838144 is the 350488-th square number.

It is an amenable number.

122841838144 is an abundant number, since it is smaller than the sum of its proper divisors (123276205433).

122841838144 is an frugal number, since it uses more digits than its factorization.

122841838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 422 counting only the distinct ones).

The product of its digits is 393216, while the sum is 46.

The spelling of 122841838144 in words is "one hundred twenty-two billion, eight hundred forty-one million, eight hundred thirty-eight thousand, one hundred forty-four".