1120345226112 has 288 divisors, whose sum is σ = 3501580221720. Its totient is φ = 316459917312.

The previous prime is 1120345226081. The next prime is 1120345226129. The reversal of 1120345226112 is 2116225430211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120345226112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149037778 + ... + 149045294.

Almost surely, 2^{1120345226112} is an apocalyptic number.

1120345226112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120345226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750790110860).

1120345226112 is an abundant number, since it is smaller than the sum of its proper divisors (2381234995608).

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

1120345226112 is an frugal number, since it uses more digits than its factorization.

1120345226112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1120345226112 in words is "one trillion, one hundred twenty billion, three hundred forty-five million, two hundred twenty-six thousand, one hundred twelve".