1121221122112 has 112 divisors (see below), whose sum is σ = 2758069444480. Its totient is φ = 440368607232.

The previous prime is 1121221122103. The next prime is 1121221122137. The reversal of 1121221122112 is 2112211221211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1121221122112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117028 + ... + 1502044.

It is an arithmetic number, because the mean of its divisors is an integer number (24625620040).

Almost surely, 2^{1121221122112} 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 1121221122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379034722240).

1121221122112 is an abundant number, since it is smaller than the sum of its proper divisors (1636848322368).

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

1121221122112 is a wasteful number, since it uses less digits than its factorization.

1121221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385188 (or 1385178 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

Adding to 1121221122112 its reverse (2112211221211), we get a palindrome (3233432343323).

Subtracting 1121221122112 from its reverse (2112211221211), we obtain a palindrome (990990099099).

The spelling of 1121221122112 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".