11221200002112 has 112 divisors (see below), whose sum is σ = 30386694624000. Its totient is φ = 3652594057728.

The previous prime is 11221200002107. The next prime is 11221200002119. The reversal of 11221200002112 is 21120000212211.

It is a junction number, because it is equal to n+sod(n) for n = 11221200002091 and 11221200002100.

It is not an unprimeable number, because it can be changed into a prime (11221200002119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37191639 + ... + 37492137.

Almost surely, 2^{11221200002112} is an apocalyptic number.

11221200002112 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 11221200002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193347312000).

11221200002112 is an abundant number, since it is smaller than the sum of its proper divisors (19165494621888).

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

11221200002112 is a wasteful number, since it uses less digits than its factorization.

11221200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305080 (or 305070 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11221200002112 its reverse (21120000212211), we get a palindrome (32341200214323).

The spelling of 11221200002112 in words is "eleven trillion, two hundred twenty-one billion, two hundred million, two thousand, one hundred twelve".