200002122120 has 256 divisors, whose sum is σ = 676864512000. Its totient is φ = 47023358976.

The previous prime is 200002122079. The next prime is 200002122179. The reversal of 200002122120 is 21221200002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200002122096 and 200002122105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888741 + ... + 1991819.

It is an arithmetic number, because the mean of its divisors is an integer number (2644002000).

Almost surely, 2^200002122120 is an apocalyptic number.

200002122120 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 200002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338432256000).

200002122120 is an abundant number, since it is smaller than the sum of its proper divisors (476862389880).

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

200002122120 is a wasteful number, since it uses less digits than its factorization.

200002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103172 (or 103168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200002122120 its reverse (21221200002), we get a palindrome (221223322122).

The spelling of 200002122120 in words is "two hundred billion, two million, one hundred twenty-two thousand, one hundred twenty".