12122012000000 has 756 divisors, whose sum is σ = 36726856452720. Its totient is φ = 3973939200000.

The previous prime is 12122011999973. The next prime is 12122012000083. The reversal of 12122012000000 is 21022121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4507998656 + ... + 4508001344.

Almost surely, 2^{12122012000000} is an apocalyptic number.

12122012000000 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 12122012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363428226360).

12122012000000 is an abundant number, since it is smaller than the sum of its proper divisors (24604844452720).

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

12122012000000 is an frugal number, since it uses more digits than its factorization.

12122012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2726 counting only the distinct ones).

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

Adding to 12122012000000 its reverse (21022121), we get a palindrome (12122033022121).

The spelling of 12122012000000 in words is "twelve trillion, one hundred twenty-two billion, twelve million", and thus it is an aban number.