11512420343424 has 1536 divisors, whose sum is σ = 47522188546560. Its totient is φ = 2574369423360.

The previous prime is 11512420343399. The next prime is 11512420343429. The reversal of 11512420343424 is 42434302421511.

11512420343424 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 24 + 203 + 4 + 3 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11512420343429) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2215202394 + ... + 2215207590.

It is an arithmetic number, because the mean of its divisors is an integer number (30938924835).

Almost surely, 2^{11512420343424} is an apocalyptic number.

11512420343424 is a gapful number since it is divisible by the number (14) 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 11512420343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761094273280).

11512420343424 is an abundant number, since it is smaller than the sum of its proper divisors (36009768203136).

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

11512420343424 is a wasteful number, since it uses less digits than its factorization.

11512420343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 11512420343424 its reverse (42434302421511), we get a palindrome (53946722764935).

The spelling of 11512420343424 in words is "eleven trillion, five hundred twelve billion, four hundred twenty million, three hundred forty-three thousand, four hundred twenty-four".