200814981120 has 624 divisors, whose sum is σ = 767444277600. Its totient is φ = 48257040384.

The previous prime is 200814981091. The next prime is 200814981121. The reversal of 200814981120 is 21189418002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200814981121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103033906 + ... + 103035854.

It is an arithmetic number, because the mean of its divisors is an integer number (1229878650).

Almost surely, 2^200814981120 is an apocalyptic number.

200814981120 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 200814981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383722138800).

200814981120 is an abundant number, since it is smaller than the sum of its proper divisors (566629296480).

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

200814981120 is a wasteful number, since it uses less digits than its factorization.

200814981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 200814981120 in words is "two hundred billion, eight hundred fourteen million, nine hundred eighty-one thousand, one hundred twenty".