11101200240 has 160 divisors (see below), whose sum is σ = 38672524800. Its totient is φ = 2613777408.

The previous prime is 11101200193. The next prime is 11101200247. The reversal of 11101200240 is 4200210111.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101200247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590 + ... + 149109.

It is an arithmetic number, because the mean of its divisors is an integer number (241703280).

Almost surely, 2^11101200240 is an apocalyptic number.

11101200240 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 11101200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336262400).

11101200240 is an abundant number, since it is smaller than the sum of its proper divisors (27571324560).

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

11101200240 is a wasteful number, since it uses less digits than its factorization.

11101200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154751 (or 154745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11101200240 its reverse (4200210111), we get a palindrome (15301410351).

The spelling of 11101200240 in words is "eleven billion, one hundred one million, two hundred thousand, two hundred forty".