11516712 has 32 divisors (see below), whose sum is σ = 29786400. Its totient is φ = 3706304.

The previous prime is 11516711. The next prime is 11516719. The reversal of 11516712 is 21761511.

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

It is not an unprimeable number, because it can be changed into a prime (11516711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7578 + ... + 8969.

It is an arithmetic number, because the mean of its divisors is an integer number (930825).

Almost surely, 2^11516712 is an apocalyptic number.

11516712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11516712 is an abundant number, since it is smaller than the sum of its proper divisors (18269688).

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

11516712 is a wasteful number, since it uses less digits than its factorization.

11516712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16585 (or 16581 counting only the distinct ones).

The product of its digits is 420, while the sum is 24.

The square root of 11516712 is about 3393.6281469837. The cubic root of 11516712 is about 225.8271578975.

The spelling of 11516712 in words is "eleven million, five hundred sixteen thousand, seven hundred twelve".