122830566912 has 240 divisors, whose sum is σ = 379497710592. Its totient is φ = 39621519360.

The previous prime is 122830566883. The next prime is 122830566917. The reversal of 122830566912 is 219665038221.

122830566912 is a `hidden beast` number, since 1 + 2 + 2 + 83 + 0 + 566 + 9 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122830566917) 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, 3840973 + ... + 3872819.

Almost surely, 2^122830566912 is an apocalyptic number.

122830566912 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 122830566912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189748855296).

122830566912 is an abundant number, since it is smaller than the sum of its proper divisors (256667143680).

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

122830566912 is an frugal number, since it uses more digits than its factorization.

122830566912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31911 (or 31883 counting only the distinct ones).

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

The spelling of 122830566912 in words is "one hundred twenty-two billion, eight hundred thirty million, five hundred sixty-six thousand, nine hundred twelve".