198712120320 has 1408 divisors, whose sum is σ = 855063014400. Its totient is φ = 42807066624.

The previous prime is 198712120319. The next prime is 198712120333. The reversal of 198712120320 is 23021217891.

198712120320 is a `hidden beast` number, since 198 + 7 + 121 + 20 + 320 = 666.

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, 2048578512 + ... + 2048578608.

Almost surely, 2^198712120320 is an apocalyptic number.

198712120320 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 198712120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427531507200).

198712120320 is an abundant number, since it is smaller than the sum of its proper divisors (656350894080).

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

198712120320 is a wasteful number, since it uses less digits than its factorization.

198712120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 198712120320 in words is "one hundred ninety-eight billion, seven hundred twelve million, one hundred twenty thousand, three hundred twenty".