11303712 has 180 divisors, whose sum is σ = 39105990. Its totient is φ = 3193344.

The previous prime is 11303693. The next prime is 11303731. The reversal of 11303712 is 21730311.

It is an interprime number because it is at equal distance from previous prime (11303693) and next prime (11303731).

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 571536 = 3276^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 126964 + ... + 127052.

Almost surely, 2^11303712 is an apocalyptic number.

11303712 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 11303712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552995).

11303712 is an abundant number, since it is smaller than the sum of its proper divisors (27802278).

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

11303712 is an equidigital number, since it uses as much as digits as its factorization.

11303712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11303712 is about 3362.0993441598. The cubic root of 11303712 is about 224.4262716246.

The spelling of 11303712 in words is "eleven million, three hundred three thousand, seven hundred twelve".