11511003121240 has 128 divisors (see below), whose sum is σ = 29661258792960. Its totient is φ = 3938430495744.

The previous prime is 11511003121223. The next prime is 11511003121273. The reversal of 11511003121240 is 4212130011511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432194964 + ... + 432221596.

It is an arithmetic number, because the mean of its divisors is an integer number (231728584320).

Almost surely, 2^{11511003121240} is an apocalyptic number.

11511003121240 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 11511003121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830629396480).

11511003121240 is an abundant number, since it is smaller than the sum of its proper divisors (18150255671720).

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

11511003121240 is a wasteful number, since it uses less digits than its factorization.

11511003121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29801 (or 29797 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 11511003121240 its reverse (4212130011511), we get a palindrome (15723133132751).

The spelling of 11511003121240 in words is "eleven trillion, five hundred eleven billion, three million, one hundred twenty-one thousand, two hundred forty".