200212110120 has 256 divisors, whose sum is σ = 696563712000. Its totient is φ = 45525888000.

The previous prime is 200212110097. The next prime is 200212110149. The reversal of 200212110120 is 21011212002.

200212110120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 200212110096 and 200212110105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2493561 + ... + 2572599.

It is an arithmetic number, because the mean of its divisors is an integer number (2720952000).

Almost surely, 2^200212110120 is an apocalyptic number.

200212110120 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 200212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348281856000).

200212110120 is an abundant number, since it is smaller than the sum of its proper divisors (496351601880).

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

200212110120 is a wasteful number, since it uses less digits than its factorization.

200212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79184 (or 79180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200212110120 its reverse (21011212002), we get a palindrome (221223322122).

The spelling of 200212110120 in words is "two hundred billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".