12122000012122 has 288 divisors, whose sum is σ = 26857014307200. Its totient is φ = 3987616469760.

The previous prime is 12122000012107. The next prime is 12122000012123. The reversal of 12122000012122 is 22121000022121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122000012096 and 12122000012105.

It is not an unprimeable number, because it can be changed into a prime (12122000012123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230522029 + ... + 230574607.

It is an arithmetic number, because the mean of its divisors is an integer number (93253521900).

Almost surely, 2^{12122000012122} is an apocalyptic number.

12122000012122 is an abundant number, since it is smaller than the sum of its proper divisors (14735014295078).

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

12122000012122 is a wasteful number, since it uses less digits than its factorization.

12122000012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52690 (or 52660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122000012122 its reverse (22121000022121), we get a palindrome (34243000034243).

Subtracting 12122000012122 from its reverse (22121000022121), we obtain a palindrome (9999000009999).

It can be divided in two parts, 121220000 and 12122, that multiplied together give a square (1469428840000 = 1212200²).

The spelling of 12122000012122 in words is "twelve trillion, one hundred twenty-two billion, twelve thousand, one hundred twenty-two".