122673750144 has 128 divisors (see below), whose sum is σ = 355612783680. Its totient is φ = 37159464960.

The previous prime is 122673750131. The next prime is 122673750151. The reversal of 122673750144 is 441057376221.

122673750144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 122673750096 and 122673750105.

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 15 ways as a sum of consecutive naturals, for example, 16947294 + ... + 16954530.

Almost surely, 2^122673750144 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 122673750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177806391840).

122673750144 is an abundant number, since it is smaller than the sum of its proper divisors (232939033536).

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

122673750144 is a wasteful number, since it uses less digits than its factorization.

122673750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11278 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 122673750144 in words is "one hundred twenty-two billion, six hundred seventy-three million, seven hundred fifty thousand, one hundred forty-four".