11175120000 has 960 divisors, whose sum is σ = 46975088160. Its totient is φ = 2519040000.

The previous prime is 11175119959. The next prime is 11175120001. The reversal of 11175120000 is 2157111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11175120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134639959 + ... + 134640041.

Almost surely, 2^11175120000 is an apocalyptic number.

11175120000 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 11175120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487544080).

11175120000 is an abundant number, since it is smaller than the sum of its proper divisors (35799968160).

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

11175120000 is a wasteful number, since it uses less digits than its factorization.

11175120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 11175120000 its reverse (2157111), we get a palindrome (11177277111).

The spelling of 11175120000 in words is "eleven billion, one hundred seventy-five million, one hundred twenty thousand".