199121881800 has 48 divisors (see below), whose sum is σ = 617277835440. Its totient is φ = 53099168320.

The previous prime is 199121881799. The next prime is 199121881813. The reversal of 199121881800 is 8188121991.

It is a happy number.

199121881800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 199121881800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165934302 + ... + 165935501.

It is an arithmetic number, because the mean of its divisors is an integer number (12859954905).

Almost surely, 2^199121881800 is an apocalyptic number.

199121881800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199121881800 is an abundant number, since it is smaller than the sum of its proper divisors (418155953640).

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

199121881800 is a wasteful number, since it uses less digits than its factorization.

199121881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331869822 (or 331869813 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 48.

The spelling of 199121881800 in words is "one hundred ninety-nine billion, one hundred twenty-one million, eight hundred eighty-one thousand, eight hundred".