121111200010112 has 128 divisors (see below), whose sum is σ = 268857917798400. Its totient is φ = 53965219461120.

The previous prime is 121111200010111. The next prime is 121111200010123. The reversal of 121111200010112 is 211010002111121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111200010111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18811973 + ... + 24415419.

It is an arithmetic number, because the mean of its divisors is an integer number (2100452482800).

Almost surely, 2^{121111200010112} 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 121111200010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134428958899200).

121111200010112 is an abundant number, since it is smaller than the sum of its proper divisors (147746717788288).

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

121111200010112 is a wasteful number, since it uses less digits than its factorization.

121111200010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603924 (or 5603912 counting only the distinct ones).

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

Adding to 121111200010112 its reverse (211010002111121), we get a palindrome (332121202121233).

The spelling of 121111200010112 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred million, ten thousand, one hundred twelve".