122845800 has 192 divisors, whose sum is σ = 474969600. Its totient is φ = 25516800.

The previous prime is 122845771. The next prime is 122845819. The reversal of 122845800 is 8548221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44871 + ... + 47529.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^122845800 is an apocalyptic number.

122845800 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 122845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

122845800 is an abundant number, since it is smaller than the sum of its proper divisors (352123800).

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

122845800 is a wasteful number, since it uses less digits than its factorization.

122845800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 122845800 is about 11083.5824533406. The cubic root of 122845800 is about 497.1110736905. Note that the first 3 decimals are identical.

The spelling of 122845800 in words is "one hundred twenty-two million, eight hundred forty-five thousand, eight hundred".