11111011022112 has 384 divisors, whose sum is σ = 31404961308672. Its totient is φ = 3431050444800.

The previous prime is 11111011022011. The next prime is 11111011022117. The reversal of 11111011022112 is 21122011011111.

It is a junction number, because it is equal to n+sod(n) for n = 11111011022091 and 11111011022100.

It is not an unprimeable number, because it can be changed into a prime (11111011022117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8660179423 + ... + 8660180705.

It is an arithmetic number, because the mean of its divisors is an integer number (81783753408).

Almost surely, 2^{11111011022112} is an apocalyptic number.

11111011022112 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 11111011022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702480654336).

11111011022112 is an abundant number, since it is smaller than the sum of its proper divisors (20293950286560).

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

11111011022112 is a wasteful number, since it uses less digits than its factorization.

11111011022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11111011022112 its reverse (21122011011111), we get a palindrome (32233022033223).

The spelling of 11111011022112 in words is "eleven trillion, one hundred eleven billion, eleven million, twenty-two thousand, one hundred twelve".