11111212122112 has 72 divisors (see below), whose sum is σ = 22229516685600. Its totient is φ = 5553811881984.

The previous prime is 11111212122091. The next prime is 11111212122149. The reversal of 11111212122112 is 21122121211111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11111212122112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 466473339 + ... + 466497157.

It is an arithmetic number, because the mean of its divisors is an integer number (308743287300).

Almost surely, 2^{11111212122112} 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 11111212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114758342800).

11111212122112 is an abundant number, since it is smaller than the sum of its proper divisors (11118304563488).

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

11111212122112 is an frugal number, since it uses more digits than its factorization.

11111212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27412 (or 27380 counting only the distinct ones).

The product of its digits is 32, while the sum is 19.

Adding to 11111212122112 its reverse (21122121211111), we get a palindrome (32233333333223).

The spelling of 11111212122112 in words is "eleven trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".