11232000240 has 80 divisors (see below), whose sum is σ = 34932847488. Its totient is φ = 2985424128.

The previous prime is 11232000239. The next prime is 11232000257. The reversal of 11232000240 is 4200023211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2542 + ... + 149901.

Almost surely, 2^11232000240 is an apocalyptic number.

11232000240 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 11232000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466423744).

11232000240 is an abundant number, since it is smaller than the sum of its proper divisors (23700847248).

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

11232000240 is a wasteful number, since it uses less digits than its factorization.

11232000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152766 (or 152760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11232000240 its reverse (4200023211), we get a palindrome (15432023451).

The spelling of 11232000240 in words is "eleven billion, two hundred thirty-two million, two hundred forty", and thus it is an aban number.