198900203685120 has 2304 divisors, whose sum is σ = 848139780096000. Its totient is φ = 43180290736128.

The previous prime is 198900203685037. The next prime is 198900203685133. The reversal of 198900203685120 is 21586302009891.

198900203685120 is a `hidden beast` number, since 1 + 9 + 8 + 90 + 0 + 2 + 0 + 36 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×198900203685120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 212273429292 + ... + 212273430228.

It is an arithmetic number, because the mean of its divisors is an integer number (368116224000).

Almost surely, 2^{198900203685120} is an apocalyptic number.

198900203685120 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 198900203685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424069890048000).

198900203685120 is an abundant number, since it is smaller than the sum of its proper divisors (649239576410880).

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

198900203685120 is a wasteful number, since it uses less digits than its factorization.

198900203685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 198900203685120 in words is "one hundred ninety-eight trillion, nine hundred billion, two hundred three million, six hundred eighty-five thousand, one hundred twenty".