200002211120 has 80 divisors (see below), whose sum is σ = 473219235840. Its totient is φ = 78599953152.

The previous prime is 200002211119. The next prime is 200002211197. The reversal of 200002211120 is 21112200002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 950921 + ... + 1142039.

It is an arithmetic number, because the mean of its divisors is an integer number (5915240448).

Almost surely, 2^200002211120 is an apocalyptic number.

200002211120 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 200002211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236609617920).

200002211120 is an abundant number, since it is smaller than the sum of its proper divisors (273217024720).

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

200002211120 is a wasteful number, since it uses less digits than its factorization.

200002211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191362 (or 191356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200002211120 its reverse (21112200002), we get a palindrome (221114411122).

The spelling of 200002211120 in words is "two hundred billion, two million, two hundred eleven thousand, one hundred twenty".