112111201020 has 192 divisors, whose sum is σ = 396795119616. Its totient is φ = 23014886400.

The previous prime is 112111200979. The next prime is 112111201039. The reversal of 112111201020 is 20102111211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112111200987 and 112111201005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75456 + ... + 479495.

It is an arithmetic number, because the mean of its divisors is an integer number (2066641248).

Almost surely, 2^112111201020 is an apocalyptic number.

112111201020 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 112111201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198397559808).

112111201020 is an abundant number, since it is smaller than the sum of its proper divisors (284683918596).

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

112111201020 is a wasteful number, since it uses less digits than its factorization.

112111201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555020 (or 555018 counting only the distinct ones).

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

Adding to 112111201020 its reverse (20102111211), we get a palindrome (132213312231).

The spelling of 112111201020 in words is "one hundred twelve billion, one hundred eleven million, two hundred one thousand, twenty".