122128233092304 has 160 divisors (see below), whose sum is σ = 339851512111104. Its totient is φ = 37654928578560.

The previous prime is 122128233092303. The next prime is 122128233092347. The reversal of 122128233092304 is 403290332821221.

122128233092304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122128233092303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8215587 + ... + 17656509.

Almost surely, 2^{122128233092304} 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 122128233092304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169925756055552).

122128233092304 is an abundant number, since it is smaller than the sum of its proper divisors (217723279018800).

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

122128233092304 is a wasteful number, since it uses less digits than its factorization.

122128233092304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441225 (or 9441219 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 122128233092304 in words is "one hundred twenty-two trillion, one hundred twenty-eight billion, two hundred thirty-three million, ninety-two thousand, three hundred four".