11340120 has 128 divisors (see below), whose sum is σ = 37946880. Its totient is φ = 2710400.

The previous prime is 11340107. The next prime is 11340137. The reversal of 11340120 is 2104311.

It is a happy number.

It is a super-2 number, since 2×11340120² = 257196643228800, which contains 22 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 = 11340096 and 11340105.

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, 159685 + ... + 159755.

It is an arithmetic number, because the mean of its divisors is an integer number (296460).

Almost surely, 2^11340120 is an apocalyptic number.

11340120 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 11340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973440).

11340120 is an abundant number, since it is smaller than the sum of its proper divisors (26606760).

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

11340120 is a wasteful number, since it uses less digits than its factorization.

11340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

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

The square root of 11340120 is about 3367.5094654655. The cubic root of 11340120 is about 224.6669640870. Note that the first 3 decimals are identical.

Adding to 11340120 its reverse (2104311), we get a palindrome (13444431).

The spelling of 11340120 in words is "eleven million, three hundred forty thousand, one hundred twenty".