11520105135000 has 320 divisors, whose sum is σ = 44869168270080. Its totient is φ = 2393787840000.

The previous prime is 11520105134999. The next prime is 11520105135023. The reversal of 11520105135000 is 53150102511.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3832059 + ... + 6142058.

It is an arithmetic number, because the mean of its divisors is an integer number (140216150844).

Almost surely, 2^{11520105135000} is an apocalyptic number.

11520105135000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11520105135000 is an abundant number, since it is smaller than the sum of its proper divisors (33349063135080).

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

11520105135000 is a wasteful number, since it uses less digits than its factorization.

11520105135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974164 (or 9974145 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 11520105135000 its reverse (53150102511), we get a palindrome (11573255237511).

The spelling of 11520105135000 in words is "eleven trillion, five hundred twenty billion, one hundred five million, one hundred thirty-five thousand".