11301123240 has 384 divisors, whose sum is σ = 43746393600. Its totient is φ = 2595006720.

The previous prime is 11301123203. The next prime is 11301123241. The reversal of 11301123240 is 4232110311.

11301123240 is a `hidden beast` number, since 1 + 1 + 301 + 123 + 240 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11301123241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2028699 + ... + 2034261.

It is an arithmetic number, because the mean of its divisors is an integer number (113922900).

Almost surely, 2^11301123240 is an apocalyptic number.

11301123240 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 11301123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873196800).

11301123240 is an abundant number, since it is smaller than the sum of its proper divisors (32445270360).

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

11301123240 is a wasteful number, since it uses less digits than its factorization.

11301123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11301123240 its reverse (4232110311), we get a palindrome (15533233551).

The spelling of 11301123240 in words is "eleven billion, three hundred one million, one hundred twenty-three thousand, two hundred forty".