122291800800 has 576 divisors, whose sum is σ = 445255501824. Its totient is φ = 28951142400.

The previous prime is 122291800783. The next prime is 122291800801. The reversal of 122291800800 is 8008192221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122291800801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 219554122 + ... + 219554678.

It is an arithmetic number, because the mean of its divisors is an integer number (773013024).

Almost surely, 2^122291800800 is an apocalyptic number.

122291800800 is a gapful number since it is divisible by the number (10) 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 122291800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222627750912).

122291800800 is an abundant number, since it is smaller than the sum of its proper divisors (322963701024).

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

122291800800 is a wasteful number, since it uses less digits than its factorization.

122291800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 122291800800 in words is "one hundred twenty-two billion, two hundred ninety-one million, eight hundred thousand, eight hundred".