122394322800 has 360 divisors, whose sum is σ = 438528886224. Its totient is φ = 31592816640.

The previous prime is 122394322789. The next prime is 122394322819. The reversal of 122394322800 is 8223493221.

It is a Cunningham number, because it is equal to 349849²-1.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17488902 + ... + 17495898.

Almost surely, 2^122394322800 is an apocalyptic number.

122394322800 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 122394322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219264443112).

122394322800 is an abundant number, since it is smaller than the sum of its proper divisors (316134563424).

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

122394322800 is a wasteful number, since it uses less digits than its factorization.

122394322800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122394322800 in words is "one hundred twenty-two billion, three hundred ninety-four million, three hundred twenty-two thousand, eight hundred".