20198112000 has 576 divisors, whose sum is σ = 75670253568. Its totient is φ = 4730880000.

The previous prime is 20198111987. The next prime is 20198112037. The reversal of 20198112000 is 21189102.

It is a super-3 number, since 3×20198112000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 32735692 + ... + 32736308.

It is an arithmetic number, because the mean of its divisors is an integer number (131371968).

Almost surely, 2^20198112000 is an apocalyptic number.

20198112000 is a gapful number since it is divisible by the number (20) 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 20198112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37835126784).

20198112000 is an abundant number, since it is smaller than the sum of its proper divisors (55472141568).

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

20198112000 is a wasteful number, since it uses less digits than its factorization.

20198112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 20198112000 in words is "twenty billion, one hundred ninety-eight million, one hundred twelve thousand".