11120022102112 has 384 divisors, whose sum is σ = 27982402560000. Its totient is φ = 4224806277120.

The previous prime is 11120022102103. The next prime is 11120022102169. The reversal of 11120022102112 is 21120122002111.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 13745391564 + ... + 13745392372.

It is an arithmetic number, because the mean of its divisors is an integer number (72870840000).

Almost surely, 2^{11120022102112} 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 11120022102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991201280000).

11120022102112 is an abundant number, since it is smaller than the sum of its proper divisors (16862380457888).

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

11120022102112 is a wasteful number, since it uses less digits than its factorization.

11120022102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11120022102112 its reverse (21120122002111), we get a palindrome (32240144104223).

The spelling of 11120022102112 in words is "eleven trillion, one hundred twenty billion, twenty-two million, one hundred two thousand, one hundred twelve".