11453120 has 56 divisors (see below), whose sum is σ = 31174944. Its totient is φ = 3926016.

The previous prime is 11453111. The next prime is 11453129. The reversal of 11453120 is 2135411.

It is an interprime number because it is at equal distance from previous prime (11453111) and next prime (11453129).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (11453129) 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, 317 + ... + 4796.

Almost surely, 2^11453120 is an apocalyptic number.

11453120 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 11453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587472).

11453120 is an abundant number, since it is smaller than the sum of its proper divisors (19721824).

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

11453120 is an equidigital number, since it uses as much as digits as its factorization.

11453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11453120 is about 3384.2458539533. The cubic root of 11453120 is about 225.4107394473.

Adding to 11453120 its reverse (2135411), we get a palindrome (13588531).

The spelling of 11453120 in words is "eleven million, four hundred fifty-three thousand, one hundred twenty".