11347120 has 80 divisors (see below), whose sum is σ = 28078560. Its totient is φ = 4257792.

The previous prime is 11347117. The next prime is 11347129. The reversal of 11347120 is 2174311.

11347120 = T₃₁₉ + T₃₂₀ + ... + T₄₆₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11347129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155404 + ... + 155476.

It is an arithmetic number, because the mean of its divisors is an integer number (350982).

Almost surely, 2^11347120 is an apocalyptic number.

11347120 is a gapful number since it is divisible by the number (10) 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 11347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039280).

11347120 is an abundant number, since it is smaller than the sum of its proper divisors (16731440).

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

11347120 is a wasteful number, since it uses less digits than its factorization.

11347120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11347120 is about 3368.5486488991. The cubic root of 11347120 is about 224.7131818598.

The spelling of 11347120 in words is "eleven million, three hundred forty-seven thousand, one hundred twenty".