12122012122200 has 288 divisors, whose sum is σ = 43811086044960. Its totient is φ = 2992511692800.

The previous prime is 12122012122189. The next prime is 12122012122237. The reversal of 12122012122200 is 222121022121.

It is a happy number.

12122012122200 is a `hidden beast` number, since 1 + 212 + 20 + 1 + 212 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1380484 + ... + 5113683.

It is an arithmetic number, because the mean of its divisors is an integer number (152121826545).

Almost surely, 2^{12122012122200} is an apocalyptic number.

12122012122200 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 12122012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905543022480).

12122012122200 is an abundant number, since it is smaller than the sum of its proper divisors (31689073922760).

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

12122012122200 is a wasteful number, since it uses less digits than its factorization.

12122012122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494267 (or 6494255 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122012122200 its reverse (222121022121), we get a palindrome (12344133144321).

The spelling of 12122012122200 in words is "twelve trillion, one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, two hundred".