110505120000 has 360 divisors, whose sum is σ = 400942782240. Its totient is φ = 26787840000.

The previous prime is 110505119953. The next prime is 110505120001. The reversal of 110505120000 is 21505011.

It is a super-2 number, since 2×110505120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (110505120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5269536 + ... + 5290464.

Almost surely, 2^110505120000 is an apocalyptic number.

110505120000 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 110505120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200471391120).

110505120000 is an abundant number, since it is smaller than the sum of its proper divisors (290437662240).

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

110505120000 is an equidigital number, since it uses as much as digits as its factorization.

110505120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20979 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 110505120000 its reverse (21505011), we get a palindrome (110526625011).

The spelling of 110505120000 in words is "one hundred ten billion, five hundred five million, one hundred twenty thousand".