11238120 has 192 divisors, whose sum is σ = 40435200. Its totient is φ = 2695680.

The previous prime is 11238083. The next prime is 11238133. The reversal of 11238120 is 2183211.

It is a super-2 number, since 2×11238120² = 252590682268800, which contains 22 as substring.

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 = 11238093 and 11238102.

It is a congruent number.

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, 212014 + ... + 212066.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^11238120 is an apocalyptic number.

11238120 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 11238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

11238120 is an abundant number, since it is smaller than the sum of its proper divisors (29197080).

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

11238120 is a wasteful number, since it uses less digits than its factorization.

11238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11238120 is about 3352.3305326295. The cubic root of 11238120 is about 223.9913368248.

The spelling of 11238120 in words is "eleven million, two hundred thirty-eight thousand, one hundred twenty".