122086800 has 180 divisors, whose sum is σ = 462340944. Its totient is φ = 29587200.

The previous prime is 122086793. The next prime is 122086801. The reversal of 122086800 is 8680221.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (122086801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38059 + ... + 41141.

Almost surely, 2^122086800 is an apocalyptic number.

122086800 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 122086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231170472).

122086800 is an abundant number, since it is smaller than the sum of its proper divisors (340254144).

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

122086800 is a wasteful number, since it uses less digits than its factorization.

122086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122086800 is about 11049.2895699226. The cubic root of 122086800 is about 496.0851614092.

The spelling of 122086800 in words is "one hundred twenty-two million, eighty-six thousand, eight hundred".