111122120100012 has 288 divisors, whose sum is σ = 315075190348800. Its totient is φ = 30354258557952.

The previous prime is 111122120100011. The next prime is 111122120100071. The reversal of 111122120100012 is 210001021221111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111122120099964 and 111122120100000.

It is not an unprimeable number, because it can be changed into a prime (111122120100011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4464695664 + ... + 4464720552.

It is an arithmetic number, because the mean of its divisors is an integer number (1094011077600).

Almost surely, 2^{111122120100012} is an apocalyptic number.

111122120100012 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 111122120100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157537595174400).

111122120100012 is an abundant number, since it is smaller than the sum of its proper divisors (203953070248788).

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

111122120100012 is a wasteful number, since it uses less digits than its factorization.

111122120100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27493 (or 27484 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111122120100012 its reverse (210001021221111), we get a palindrome (321123141321123).

The spelling of 111122120100012 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thousand, twelve".