122322940992 has 448 divisors, whose sum is σ = 429255936000. Its totient is φ = 33418635264.

The previous prime is 122322940969. The next prime is 122322941029. The reversal of 122322940992 is 299049223221.

122322940992 is a `hidden beast` number, since 1 + 2 + 232 + 2 + 9 + 409 + 9 + 2 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37532259 + ... + 37535517.

Almost surely, 2^122322940992 is an apocalyptic number.

122322940992 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 122322940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214627968000).

122322940992 is an abundant number, since it is smaller than the sum of its proper divisors (306932995008).

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

122322940992 is a wasteful number, since it uses less digits than its factorization.

122322940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 122322940992 in words is "one hundred twenty-two billion, three hundred twenty-two million, nine hundred forty thousand, nine hundred ninety-two".