11110110001200 has 720 divisors, whose sum is σ = 47483823697920. Its totient is φ = 2457532224000.

The previous prime is 11110110001153. The next prime is 11110110001219. The reversal of 11110110001200 is 210001101111.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16066585 + ... + 16743815.

It is an arithmetic number, because the mean of its divisors is an integer number (65949755136).

Almost surely, 2^{11110110001200} is an apocalyptic number.

11110110001200 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 11110110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23741911848960).

11110110001200 is an abundant number, since it is smaller than the sum of its proper divisors (36373713696720).

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

11110110001200 is a wasteful number, since it uses less digits than its factorization.

11110110001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677303 (or 677279 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11110110001200 its reverse (210001101111), we get a palindrome (11320111102311).

The spelling of 11110110001200 in words is "eleven trillion, one hundred ten billion, one hundred ten million, one thousand, two hundred".