1122242221144 has 128 divisors (see below), whose sum is σ = 2340559872000. Its totient is φ = 500196902400.

The previous prime is 1122242221129. The next prime is 1122242221171. The reversal of 1122242221144 is 4411222422211.

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

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1099159354 + ... + 1099160374.

It is an arithmetic number, because the mean of its divisors is an integer number (18285624000).

Almost surely, 2^{1122242221144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122242221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170279936000).

1122242221144 is an abundant number, since it is smaller than the sum of its proper divisors (1218317650856).

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

1122242221144 is a wasteful number, since it uses less digits than its factorization.

1122242221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2045 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 1122242221144 its reverse (4411222422211), we get a palindrome (5533464643355).

The spelling of 1122242221144 in words is "one trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, one hundred forty-four".