1100033222112 has 144 divisors (see below), whose sum is σ = 3413174139648. Its totient is φ = 333287619840.

The previous prime is 1100033222111. The next prime is 1100033222161. The reversal of 1100033222112 is 2112223300011.

1100033222112 is a `hidden beast` number, since 1 + 100 + 0 + 332 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1100033222111) 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 23 ways as a sum of consecutive naturals, for example, 21399513 + ... + 21450855.

It is an arithmetic number, because the mean of its divisors is an integer number (23702598192).

Almost surely, 2^{1100033222112} is an apocalyptic number.

1100033222112 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 1100033222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706587069824).

1100033222112 is an abundant number, since it is smaller than the sum of its proper divisors (2313140917536).

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

1100033222112 is a wasteful number, since it uses less digits than its factorization.

1100033222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58133 (or 58122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100033222112 its reverse (2112223300011), we get a palindrome (3212256522123).

The spelling of 1100033222112 in words is "one trillion, one hundred billion, thirty-three million, two hundred twenty-two thousand, one hundred twelve".