11120016 has 80 divisors (see below), whose sum is σ = 30801600. Its totient is φ = 3446784.

The previous prime is 11120009. The next prime is 11120033. The reversal of 11120016 is 61002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11119983 and 11120010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 81100 + ... + 81236.

It is an arithmetic number, because the mean of its divisors is an integer number (385020).

Almost surely, 2^11120016 is an apocalyptic number.

11120016 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 11120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800).

11120016 is an abundant number, since it is smaller than the sum of its proper divisors (19681584).

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

11120016 is a wasteful number, since it uses less digits than its factorization.

11120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 11120016 is about 3334.6687991463. The cubic root of 11120016 is about 223.2039130363.

Adding to 11120016 its reverse (61002111), we get a palindrome (72122127).

The spelling of 11120016 in words is "eleven million, one hundred twenty thousand, sixteen".