12195800 has 72 divisors (see below), whose sum is σ = 30264060. Its totient is φ = 4569600.

The previous prime is 12195793. The next prime is 12195811. The reversal of 12195800 is 859121.

12195800 = T₂₂₉ + T₂₃₀ + ... + T₄₃₉.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12195800.

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 17 ways as a sum of consecutive naturals, for example, 57695 + ... + 57905.

Almost surely, 2^12195800 is an apocalyptic number.

12195800 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 12195800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132030).

12195800 is an abundant number, since it is smaller than the sum of its proper divisors (18068260).

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

12195800 is a wasteful number, since it uses less digits than its factorization.

12195800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 12195800 is about 3492.2485593096. The cubic root of 12195800 is about 230.1813314813.

The spelling of 12195800 in words is "twelve million, one hundred ninety-five thousand, eight hundred".