11417120 has 96 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3824640.

The previous prime is 11417113. The next prime is 11417123. The reversal of 11417120 is 2171411.

It is a super-3 number, since 3×11417120³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11417123) 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, 22631 + ... + 23129.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^11417120 is an apocalyptic number.

11417120 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 11417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

11417120 is an abundant number, since it is smaller than the sum of its proper divisors (20334880).

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

11417120 is a wasteful number, since it uses less digits than its factorization.

11417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 11417120 is about 3378.9229053058. The cubic root of 11417120 is about 225.1743175884.

Adding to 11417120 its reverse (2171411), we get a palindrome (13588531).

The spelling of 11417120 in words is "eleven million, four hundred seventeen thousand, one hundred twenty".