11418120 has 192 divisors, whose sum is σ = 44478720. Its totient is φ = 2483712.

The previous prime is 11418119. The next prime is 11418157. The reversal of 11418120 is 2181411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11418093 and 11418102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57862 + ... + 58058.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 2^11418120 is an apocalyptic number.

11418120 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 11418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

11418120 is an abundant number, since it is smaller than the sum of its proper divisors (33060600).

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

11418120 is a wasteful number, since it uses less digits than its factorization.

11418120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11418120 is about 3379.0708782149. The cubic root of 11418120 is about 225.1808915680.

Adding to 11418120 its reverse (2181411), we get a palindrome (13599531).

It can be divided in two parts, 1141 and 8120, that added together give a cube (9261 = 21³).

The spelling of 11418120 in words is "eleven million, four hundred eighteen thousand, one hundred twenty".