200198949120 has 216 divisors, whose sum is σ = 693181000512. Its totient is φ = 53346816000.

The previous prime is 200198949091. The next prime is 200198949149. The reversal of 200198949120 is 21949891002.

200198949120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200198949091) and next prime (200198949149).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17631445 + ... + 17642795.

Almost surely, 2^200198949120 is an apocalyptic number.

200198949120 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 200198949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346590500256).

200198949120 is an abundant number, since it is smaller than the sum of its proper divisors (492982051392).

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

200198949120 is a wasteful number, since it uses less digits than its factorization.

200198949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 200198949120 in words is "two hundred billion, one hundred ninety-eight million, nine hundred forty-nine thousand, one hundred twenty".