1001112 has 64 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 278400.

The previous prime is 1001107. The next prime is 1001123. The reversal of 1001112 is 2111001.

1001112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1001112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9862 + ... + 9962.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2^1001112 is an apocalyptic number.

1001112 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 1001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

1001112 is an abundant number, since it is smaller than the sum of its proper divisors (1936488).

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

1001112 is a wasteful number, since it uses less digits than its factorization.

1001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1001112 is about 1000.5558455179. Note that the first 3 decimals coincide. The cubic root of 1001112 is about 100.0370529358.

Adding to 1001112 its reverse (2111001), we get a palindrome (3112113).

Multiplying 1001112 by its reverse (2111001), we get a palindrome (2113348433112).

The spelling of 1001112 in words is "one million, one thousand, one hundred twelve".