122509800 has 288 divisors, whose sum is σ = 491932800. Its totient is φ = 27941760.

The previous prime is 122509771. The next prime is 122509811. The reversal of 122509800 is 8905221.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 264369 + ... + 264831.

It is an arithmetic number, because the mean of its divisors is an integer number (1708100).

Almost surely, 2^122509800 is an apocalyptic number.

122509800 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 122509800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245966400).

122509800 is an abundant number, since it is smaller than the sum of its proper divisors (369423000).

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

122509800 is a wasteful number, since it uses less digits than its factorization.

122509800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 122509800 is about 11068.4145206077. The cubic root of 122509800 is about 496.6574376817.

The spelling of 122509800 in words is "one hundred twenty-two million, five hundred nine thousand, eight hundred".