200122122120 has 128 divisors (see below), whose sum is σ = 614896064640. Its totient is φ = 52076666880.

The previous prime is 200122122029. The next prime is 200122122127. The reversal of 200122122120 is 21221221002.

200122122120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200122122120.

It is not an unprimeable number, because it can be changed into a prime (200122122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5746360 + ... + 5781080.

It is an arithmetic number, because the mean of its divisors is an integer number (4803875505).

Almost surely, 2^200122122120 is an apocalyptic number.

200122122120 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 200122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307448032320).

200122122120 is an abundant number, since it is smaller than the sum of its proper divisors (414773942520).

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

200122122120 is a wasteful number, since it uses less digits than its factorization.

200122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35895 (or 35891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200122122120 its reverse (21221221002), we get a palindrome (221343343122).

The spelling of 200122122120 in words is "two hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".