1126072181322 has 256 divisors, whose sum is σ = 2846016000000. Its totient is φ = 326912060160.

The previous prime is 1126072181281. The next prime is 1126072181329. The reversal of 1126072181322 is 2231812706211.

1126072181322 is a `hidden beast` number, since 1 + 1 + 2 + 607 + 2 + 18 + 1 + 32 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1126072181329) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2256657429 + ... + 2256657927.

It is an arithmetic number, because the mean of its divisors is an integer number (11117250000).

Almost surely, 2^{1126072181322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126072181322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423008000000).

1126072181322 is an abundant number, since it is smaller than the sum of its proper divisors (1719943818678).

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

1126072181322 is a wasteful number, since it uses less digits than its factorization.

1126072181322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1126072181322 its reverse (2231812706211), we get a palindrome (3357884887533).

The spelling of 1126072181322 in words is "one trillion, one hundred twenty-six billion, seventy-two million, one hundred eighty-one thousand, three hundred twenty-two".