20121210200 has 192 divisors, whose sum is σ = 60965472960. Its totient is φ = 5993349120.

The previous prime is 20121210181. The next prime is 20121210209. The reversal of 20121210200 is 201212102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121210209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 276884 + ... + 341916.

It is an arithmetic number, because the mean of its divisors is an integer number (317528505).

Almost surely, 2^20121210200 is an apocalyptic number.

20121210200 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 20121210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30482736480).

20121210200 is an abundant number, since it is smaller than the sum of its proper divisors (40844262760).

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

20121210200 is a wasteful number, since it uses less digits than its factorization.

20121210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65086 (or 65077 counting only the distinct ones).

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

Adding to 20121210200 its reverse (201212102), we get a palindrome (20322422302).

20121210200 divided by its reverse (201212102) gives a square (100 = 10²).

The spelling of 20121210200 in words is "twenty billion, one hundred twenty-one million, two hundred ten thousand, two hundred".