12121122200 has 192 divisors, whose sum is σ = 32585414400. Its totient is φ = 4146854400.

The previous prime is 12121122193. The next prime is 12121122203. The reversal of 12121122200 is 222112121.

12121122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12121122200³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121122203) 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, 6561677 + ... + 6563523.

It is an arithmetic number, because the mean of its divisors is an integer number (169715700).

Almost surely, 2^12121122200 is an apocalyptic number.

12121122200 is a gapful number since it is divisible by the number (10) 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 12121122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292707200).

12121122200 is an abundant number, since it is smaller than the sum of its proper divisors (20464292200).

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

12121122200 is a wasteful number, since it uses less digits than its factorization.

12121122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12121122200 its reverse (222112121), we get a palindrome (12343234321).

The spelling of 12121122200 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred".