11430120 has 128 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 2641920.

The previous prime is 11430101. The next prime is 11430157. The reversal of 11430120 is 2103411.

It is a happy number.

11430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11430120³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11430096 and 11430105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26305 + ... + 26735.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 2^11430120 is an apocalyptic number.

11430120 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 11430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

11430120 is an abundant number, since it is smaller than the sum of its proper divisors (27760920).

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

11430120 is a wasteful number, since it uses less digits than its factorization.

11430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11430120 is about 3380.8460479590. The cubic root of 11430120 is about 225.2597494018.

Adding to 11430120 its reverse (2103411), we get a palindrome (13533531).

The spelling of 11430120 in words is "eleven million, four hundred thirty thousand, one hundred twenty".