198121248000 has 1152 divisors, whose sum is σ = 814251110400. Its totient is φ = 47112192000.

The previous prime is 198121247963. The next prime is 198121248019. The reversal of 198121248000 is 842121891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 348191716 + ... + 348192284.

It is an arithmetic number, because the mean of its divisors is an integer number (706815200).

Almost surely, 2^198121248000 is an apocalyptic number.

198121248000 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 198121248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407125555200).

198121248000 is an abundant number, since it is smaller than the sum of its proper divisors (616129862400).

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

198121248000 is a wasteful number, since it uses less digits than its factorization.

198121248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 198121248000 its reverse (842121891), we get a palindrome (198963369891).

The spelling of 198121248000 in words is "one hundred ninety-eight billion, one hundred twenty-one million, two hundred forty-eight thousand".