110882840112 has 240 divisors, whose sum is σ = 355023527040. Its totient is φ = 33222182400.

The previous prime is 110882840093. The next prime is 110882840113. The reversal of 110882840112 is 211048288011.

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

It is not an unprimeable number, because it can be changed into a prime (110882840113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3791787 + ... + 3820917.

It is an arithmetic number, because the mean of its divisors is an integer number (1479264696).

Almost surely, 2^110882840112 is an apocalyptic number.

110882840112 is a gapful number since it is divisible by the number (12) 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 110882840112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177511763520).

110882840112 is an abundant number, since it is smaller than the sum of its proper divisors (244140686928).

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

110882840112 is a wasteful number, since it uses less digits than its factorization.

110882840112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29254 (or 29236 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 110882840112 in words is "one hundred ten billion, eight hundred eighty-two million, eight hundred forty thousand, one hundred twelve".