112811136 has 128 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 35143680.

The previous prime is 112811129. The next prime is 112811137. The reversal of 112811136 is 631118211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×112811136² = 25452704811220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112811137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467976 + ... + 468216.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 2^112811136 is an apocalyptic number.

112811136 is a gapful number since it is divisible by the number (16) 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 112811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

112811136 is an abundant number, since it is smaller than the sum of its proper divisors (207093504).

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

112811136 is a wasteful number, since it uses less digits than its factorization.

112811136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The square root of 112811136 is about 10621.2586824726. The cubic root of 112811136 is about 483.1893174838.

Adding to 112811136 its reverse (631118211), we get a palindrome (743929347).

The spelling of 112811136 in words is "one hundred twelve million, eight hundred eleven thousand, one hundred thirty-six".