195122800 has 120 divisors (see below), whose sum is σ = 495968256. Its totient is φ = 73624320.

The previous prime is 195122783. The next prime is 195122831. The reversal of 195122800 is 8221591.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1168317 + ... + 1168483.

Almost surely, 2^195122800 is an apocalyptic number.

195122800 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 195122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247984128).

195122800 is an abundant number, since it is smaller than the sum of its proper divisors (300845456).

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

195122800 is a wasteful number, since it uses less digits than its factorization.

195122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 195122800 is about 13968.6362970764. The cubic root of 195122800 is about 580.0107013483.

The spelling of 195122800 in words is "one hundred ninety-five million, one hundred twenty-two thousand, eight hundred".