11524140012 has 192 divisors, whose sum is σ = 35263807488. Its totient is φ = 2841696000.

The previous prime is 11524139993. The next prime is 11524140029. The reversal of 11524140012 is 21004142511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1514337 + ... + 1521927.

It is an arithmetic number, because the mean of its divisors is an integer number (183665664).

Almost surely, 2^11524140012 is an apocalyptic number.

11524140012 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 11524140012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631903744).

11524140012 is an abundant number, since it is smaller than the sum of its proper divisors (23739667476).

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

11524140012 is a wasteful number, since it uses less digits than its factorization.

11524140012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7698 counting only the distinct ones).

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

Adding to 11524140012 its reverse (21004142511), we get a palindrome (32528282523).

The spelling of 11524140012 in words is "eleven billion, five hundred twenty-four million, one hundred forty thousand, twelve".