11524214130000 has 800 divisors, whose sum is σ = 44139880616832. Its totient is φ = 2553216000000.

The previous prime is 11524214129971. The next prime is 11524214130001. The reversal of 11524214130000 is 3141242511.

It is a super-2 number, since 2×11524214130000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11524214130001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 433276702 + ... + 433303298.

Almost surely, 2^{11524214130000} is an apocalyptic number.

11524214130000 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 11524214130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22069940308416).

11524214130000 is an abundant number, since it is smaller than the sum of its proper divisors (32615666486832).

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

11524214130000 is a wasteful number, since it uses less digits than its factorization.

11524214130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26753 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11524214130000 its reverse (3141242511), we get a palindrome (11527355372511).

The spelling of 11524214130000 in words is "eleven trillion, five hundred twenty-four billion, two hundred fourteen million, one hundred thirty thousand".