111121102200012 has 144 divisors (see below), whose sum is σ = 271390781555712. Its totient is φ = 35382581176320.

The previous prime is 111121102199963. The next prime is 111121102200077. The reversal of 111121102200012 is 210002201121111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111121102199964 and 111121102200000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3202043053 + ... + 3202077755.

It is an arithmetic number, because the mean of its divisors is an integer number (1884658205248).

Almost surely, 2^{111121102200012} is an apocalyptic number.

111121102200012 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 111121102200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135695390777856).

111121102200012 is an abundant number, since it is smaller than the sum of its proper divisors (160269679355700).

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

111121102200012 is a wasteful number, since it uses less digits than its factorization.

111121102200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38136 (or 38105 counting only the distinct ones).

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

Adding to 111121102200012 its reverse (210002201121111), we get a palindrome (321123303321123).

The spelling of 111121102200012 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred two million, two hundred thousand, twelve".