112233100 has 72 divisors (see below), whose sum is σ = 290481408. Its totient is φ = 36801600.

The previous prime is 112233097. The next prime is 112233101. The reversal of 112233100 is 1332211.

It is a super-2 number, since 2×112233100² = 25192537471220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12615 + ... + 19585.

It is an arithmetic number, because the mean of its divisors is an integer number (4034464).

Almost surely, 2^112233100 is an apocalyptic number.

112233100 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 112233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145240704).

112233100 is an abundant number, since it is smaller than the sum of its proper divisors (178248308).

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

112233100 is a wasteful number, since it uses less digits than its factorization.

112233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 112233100 is about 10594.0124598756. The cubic root of 112233100 is about 482.3626283471.

Adding to 112233100 its reverse (1332211), we get a palindrome (113565311).

The spelling of 112233100 in words is "one hundred twelve million, two hundred thirty-three thousand, one hundred".