11312016 has 40 divisors (see below), whose sum is σ = 29343360. Its totient is φ = 3755136.

The previous prime is 11312009. The next prime is 11312033. The reversal of 11312016 is 61021311.

It is a junction number, because it is equal to n+sod(n) for n = 11311986 and 11312004.

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 7 ways as a sum of consecutive naturals, for example, 21970 + ... + 22478.

It is an arithmetic number, because the mean of its divisors is an integer number (733584).

Almost surely, 2^11312016 is an apocalyptic number.

11312016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11312016 is an abundant number, since it is smaller than the sum of its proper divisors (18031344).

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

11312016 is a wasteful number, since it uses less digits than its factorization.

11312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11312016 is about 3363.3340601255. The cubic root of 11312016 is about 224.4812146258.

Adding to 11312016 its reverse (61021311), we get a palindrome (72333327).

The spelling of 11312016 in words is "eleven million, three hundred twelve thousand, sixteen".