12122000001200 has 240 divisors, whose sum is σ = 31275634231296. Its totient is φ = 4498946150400.

The previous prime is 12122000001191. The next prime is 12122000001229. The reversal of 12122000001200 is 210000022121.

It is a happy number.

It is an unprimeable number.

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, 156150395 + ... + 156228005.

Almost surely, 2^{12122000001200} is an apocalyptic number.

12122000001200 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 12122000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637817115648).

12122000001200 is an abundant number, since it is smaller than the sum of its proper divisors (19153634230096).

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

12122000001200 is a wasteful number, since it uses less digits than its factorization.

12122000001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77972 (or 77961 counting only the distinct ones).

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

Adding to 12122000001200 its reverse (210000022121), we get a palindrome (12332000023321).

The spelling of 12122000001200 in words is "twelve trillion, one hundred twenty-two billion, one thousand, two hundred".