11795112 has 128 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 3241728.

The previous prime is 11795107. The next prime is 11795117. The reversal of 11795112 is 21159711.

It is an interprime number because it is at equal distance from previous prime (11795107) and next prime (11795117).

It is a super-4 number, since 4×11795112⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11795117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43714 + ... + 43982.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 2^11795112 is an apocalyptic number.

11795112 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 11795112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

11795112 is an abundant number, since it is smaller than the sum of its proper divisors (27084888).

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

11795112 is a wasteful number, since it uses less digits than its factorization.

11795112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 630, while the sum is 27.

The square root of 11795112 is about 3434.4012578614. The cubic root of 11795112 is about 227.6323715414.

The spelling of 11795112 in words is "eleven million, seven hundred ninety-five thousand, one hundred twelve".