11121120112212 has 216 divisors, whose sum is σ = 31757665107168. Its totient is φ = 3277150208640.

The previous prime is 11121120112199. The next prime is 11121120112231. The reversal of 11121120112212 is 21221102112111.

It is a happy number.

11121120112212 is a `hidden beast` number, since 111 + 211 + 20 + 112 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42388138 + ... + 42649694.

It is an arithmetic number, because the mean of its divisors is an integer number (147026227348).

Almost surely, 2^{11121120112212} is an apocalyptic number.

11121120112212 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 11121120112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878832553584).

11121120112212 is an abundant number, since it is smaller than the sum of its proper divisors (20636544994956).

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

11121120112212 is a wasteful number, since it uses less digits than its factorization.

11121120112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261859 (or 261843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11121120112212 its reverse (21221102112111), we get a palindrome (32342222224323).

The spelling of 11121120112212 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred twelve".