122166038592 has 168 divisors, whose sum is σ = 388898160480. Its totient is φ = 37589460480.

The previous prime is 122166038581. The next prime is 122166038597. The reversal of 122166038592 is 295830661221.

122166038592 is a `hidden beast` number, since 1 + 2 + 21 + 6 + 6 + 0 + 38 + 592 = 666.

It is not an unprimeable number, because it can be changed into a prime (122166038597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82867 + ... + 501197.

Almost surely, 2^122166038592 is an apocalyptic number.

122166038592 is a gapful number since it is divisible by the number (12) 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 122166038592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194449080240).

122166038592 is an abundant number, since it is smaller than the sum of its proper divisors (266732121888).

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

122166038592 is a wasteful number, since it uses less digits than its factorization.

122166038592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418378 (or 418349 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 122166038592 in words is "one hundred twenty-two billion, one hundred sixty-six million, thirty-eight thousand, five hundred ninety-two".