112111201100000 has 144 divisors (see below), whose sum is σ = 276340186189872. Its totient is φ = 44769840000000.

The previous prime is 112111201099949. The next prime is 112111201100011. The reversal of 112111201100000 is 1102111211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59167295 + ... + 61032705.

It is an arithmetic number, because the mean of its divisors is an integer number (1919029070763).

Almost surely, 2^{112111201100000} is an apocalyptic number.

112111201100000 is a gapful number since it is divisible by the number (10) 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 112111201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138170093094936).

112111201100000 is an abundant number, since it is smaller than the sum of its proper divisors (164228985089872).

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

112111201100000 is an frugal number, since it uses more digits than its factorization.

112111201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866047 (or 1866019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112111201100000 its reverse (1102111211), we get a palindrome (112112303211211).

The spelling of 112111201100000 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred one million, one hundred thousand".