1121132230110 has 512 divisors, whose sum is σ = 3288231936000. Its totient is φ = 271491264000.

The previous prime is 1121132230093. The next prime is 1121132230111. The reversal of 1121132230110 is 110322311211.

1121132230110 is a `hidden beast` number, since 11 + 21 + 1 + 322 + 301 + 10 = 666.

It is a super-2 number, since 2×1121132230110² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132230111) 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 255 ways as a sum of consecutive naturals, for example, 10285616736 + ... + 10285616844.

It is an arithmetic number, because the mean of its divisors is an integer number (6422328000).

Almost surely, 2^{1121132230110} is an apocalyptic number.

1121132230110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121132230110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644115968000).

1121132230110 is an abundant number, since it is smaller than the sum of its proper divisors (2167099705890).

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

1121132230110 is a wasteful number, since it uses less digits than its factorization.

1121132230110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1121132230110 its reverse (110322311211), we get a palindrome (1231454541321).

The spelling of 1121132230110 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred thirty thousand, one hundred ten".