11122111002112 has 160 divisors (see below), whose sum is σ = 24897790368000. Its totient is φ = 4920597504000.

The previous prime is 11122111002089. The next prime is 11122111002113. The reversal of 11122111002112 is 21120011122111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122111002113) 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, 33395389 + ... + 33726787.

It is an arithmetic number, because the mean of its divisors is an integer number (155611189800).

Almost surely, 2^{11122111002112} 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 11122111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448895184000).

11122111002112 is an abundant number, since it is smaller than the sum of its proper divisors (13775679365888).

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

11122111002112 is a wasteful number, since it uses less digits than its factorization.

11122111002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331588 (or 331572 counting only the distinct ones).

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

Adding to 11122111002112 its reverse (21120011122111), we get a palindrome (32242122124223).

The spelling of 11122111002112 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, two thousand, one hundred twelve".