1998124999200 has 288 divisors, whose sum is σ = 7883512297920. Its totient is φ = 484393881600.

The previous prime is 1998124999187. The next prime is 1998124999207. The reversal of 1998124999200 is 29994218991.

1998124999200 is a `hidden beast` number, since 19 + 98 + 1 + 249 + 99 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1998124999207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3967209 + ... + 4442408.

It is an arithmetic number, because the mean of its divisors is an integer number (27373306590).

Almost surely, 2^{1998124999200} is an apocalyptic number.

1998124999200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1998124999200 is an abundant number, since it is smaller than the sum of its proper divisors (5885387298720).

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

1998124999200 is a wasteful number, since it uses less digits than its factorization.

1998124999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409657 (or 8409638 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 1998124999200 in words is "one trillion, nine hundred ninety-eight billion, one hundred twenty-four million, nine hundred ninety-nine thousand, two hundred".