122517275328 has 448 divisors, whose sum is σ = 427939200000. Its totient is φ = 33630363648.

The previous prime is 122517275269. The next prime is 122517275347. The reversal of 122517275328 is 823572715221.

It is a happy number.

122517275328 is a `hidden beast` number, since 1 + 2 + 2 + 51 + 7 + 275 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81731923 + ... + 81733421.

Almost surely, 2^122517275328 is an apocalyptic number.

122517275328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122517275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213969600000).

122517275328 is an abundant number, since it is smaller than the sum of its proper divisors (305421924672).

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

122517275328 is a wasteful number, since it uses less digits than its factorization.

122517275328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1773 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 122517275328 in words is "one hundred twenty-two billion, five hundred seventeen million, two hundred seventy-five thousand, three hundred twenty-eight".