11240104512 has 448 divisors, whose sum is σ = 39372032000. Its totient is φ = 2804336640.

The previous prime is 11240104511. The next prime is 11240104517. The reversal of 11240104512 is 21540104211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11240104511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16266087 + ... + 16266777.

It is an arithmetic number, because the mean of its divisors is an integer number (87884000).

Almost surely, 2^11240104512 is an apocalyptic number.

11240104512 is a gapful number since it is divisible by the number (12) 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 11240104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686016000).

11240104512 is an abundant number, since it is smaller than the sum of its proper divisors (28131927488).

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

11240104512 is a wasteful number, since it uses less digits than its factorization.

11240104512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11240104512 its reverse (21540104211), we get a palindrome (32780208723).

The spelling of 11240104512 in words is "eleven billion, two hundred forty million, one hundred four thousand, five hundred twelve".