11122011012112 has 480 divisors, whose sum is σ = 29565051715584. Its totient is φ = 3935363328000.

The previous prime is 11122011012097. The next prime is 11122011012173. The reversal of 11122011012112 is 21121011022111.

It is a super-2 number, since 2×11122011012112² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3511842753 + ... + 3511845919.

Almost surely, 2^{11122011012112} 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 11122011012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782525857792).

11122011012112 is an abundant number, since it is smaller than the sum of its proper divisors (18443040703472).

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

11122011012112 is a wasteful number, since it uses less digits than its factorization.

11122011012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3468 counting only the distinct ones).

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

Adding to 11122011012112 its reverse (21121011022111), we get a palindrome (32243022034223).

Subtracting 11122011012112 from its reverse (21121011022111), we obtain a palindrome (9999000009999).

The spelling of 11122011012112 in words is "eleven trillion, one hundred twenty-two billion, eleven million, twelve thousand, one hundred twelve".