122500800 has 252 divisors, whose sum is σ = 447117216. Its totient is φ = 31795200.

The previous prime is 122500787. The next prime is 122500823. The reversal of 122500800 is 8005221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 676710 + ... + 676890.

Almost surely, 2^122500800 is an apocalyptic number.

122500800 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 122500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223558608).

122500800 is an abundant number, since it is smaller than the sum of its proper divisors (324616416).

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

122500800 is a wasteful number, since it uses less digits than its factorization.

122500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122500800 is about 11068.0079508464. The cubic root of 122500800 is about 496.6452753175.

The spelling of 122500800 in words is "one hundred twenty-two million, five hundred thousand, eight hundred".