2122312121226 has 256 divisors, whose sum is σ = 5359919040000. Its totient is φ = 616590213120.

The previous prime is 2122312121203. The next prime is 2122312121287. The reversal of 2122312121226 is 6221212132212.

2122312121226 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 312 + 121 + 226 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2122312121226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2023175950 + ... + 2023176998.

It is an arithmetic number, because the mean of its divisors is an integer number (20937183750).

Almost surely, 2^{2122312121226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122312121226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679959520000).

2122312121226 is an abundant number, since it is smaller than the sum of its proper divisors (3237606918774).

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

2122312121226 is a wasteful number, since it uses less digits than its factorization.

2122312121226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 2122312121226 its reverse (6221212132212), we get a palindrome (8343524253438).

The spelling of 2122312121226 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred twenty-one thousand, two hundred twenty-six".