198117921120 has 576 divisors, whose sum is σ = 770859343296. Its totient is φ = 42498785280.

The previous prime is 198117921109. The next prime is 198117921161. The reversal of 198117921120 is 21129711891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256297054 + ... + 256297826.

It is an arithmetic number, because the mean of its divisors is an integer number (1338297471).

Almost surely, 2^198117921120 is an apocalyptic number.

198117921120 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 198117921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385429671648).

198117921120 is an abundant number, since it is smaller than the sum of its proper divisors (572741422176).

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

198117921120 is a wasteful number, since it uses less digits than its factorization.

198117921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 42.

The spelling of 198117921120 in words is "one hundred ninety-eight billion, one hundred seventeen million, nine hundred twenty-one thousand, one hundred twenty".