112020066288 has 320 divisors, whose sum is σ = 371687460480. Its totient is φ = 31993823232.

The previous prime is 112020066287. The next prime is 112020066307. The reversal of 112020066288 is 882660020211.

112020066288 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 20 + 0 + 6 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112020066281) by changing a digit.

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, 6961420 + ... + 6977492.

It is an arithmetic number, because the mean of its divisors is an integer number (1161523314).

Almost surely, 2^112020066288 is an apocalyptic number.

112020066288 is a gapful number since it is divisible by the number (18) 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 112020066288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185843730240).

112020066288 is an abundant number, since it is smaller than the sum of its proper divisors (259667394192).

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

112020066288 is a wasteful number, since it uses less digits than its factorization.

112020066288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16193 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 112020066288 its reverse (882660020211), we get a palindrome (994680086499).

The spelling of 112020066288 in words is "one hundred twelve billion, twenty million, sixty-six thousand, two hundred eighty-eight".