112111010220000 has 960 divisors, whose sum is σ = 410392357208064. Its totient is φ = 26560638720000.

The previous prime is 112111010219987. The next prime is 112111010220043. The reversal of 112111010220000 is 22010111211.

It is a super-2 number, since 2×112111010220000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5615930019 + ... + 5615949981.

Almost surely, 2^{112111010220000} is an apocalyptic number.

112111010220000 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 112111010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205196178604032).

112111010220000 is an abundant number, since it is smaller than the sum of its proper divisors (298281346988064).

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

112111010220000 is a wasteful number, since it uses less digits than its factorization.

112111010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112111010220000 its reverse (22010111211), we get a palindrome (112133020331211).

The spelling of 112111010220000 in words is "one hundred twelve trillion, one hundred eleven billion, ten million, two hundred twenty thousand".