11110001101200 has 180 divisors, whose sum is σ = 38565264800868. Its totient is φ = 2961862041600.

The previous prime is 11110001101193. The next prime is 11110001101229. The reversal of 11110001101200 is 210110001111.

11110001101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4008756787344 + 7101244313856 = 2002188^2 + 2664816^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12891820 + ... + 13726580.

Almost surely, 2^{11110001101200} is an apocalyptic number.

11110001101200 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 11110001101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282632400434).

11110001101200 is an abundant number, since it is smaller than the sum of its proper divisors (27455263699668).

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

11110001101200 is a wasteful number, since it uses less digits than its factorization.

11110001101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838482 (or 838468 counting only the distinct ones).

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

Adding to 11110001101200 its reverse (210110001111), we get a palindrome (11320111102311).

The spelling of 11110001101200 in words is "eleven trillion, one hundred ten billion, one million, one hundred one thousand, two hundred".