11212100011112 has 384 divisors, whose sum is σ = 28815342796800. Its totient is φ = 3971140992000.

The previous prime is 11212100011069. The next prime is 11212100011121. The reversal of 11212100011112 is 21111000121211.

It is a super-2 number, since 2×11212100011112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1837744862 + ... + 1837750962.

It is an arithmetic number, because the mean of its divisors is an integer number (75039955200).

Almost surely, 2^{11212100011112} 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 11212100011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407671398400).

11212100011112 is an abundant number, since it is smaller than the sum of its proper divisors (17603242785688).

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

11212100011112 is a wasteful number, since it uses less digits than its factorization.

11212100011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11212100011112 its reverse (21111000121211), we get a palindrome (32323100132323).

The spelling of 11212100011112 in words is "eleven trillion, two hundred twelve billion, one hundred million, eleven thousand, one hundred twelve".