11120011200000 has 720 divisors, whose sum is σ = 40252249909872. Its totient is φ = 2955110400000.

The previous prime is 11120011199867. The next prime is 11120011200017. The reversal of 11120011200000 is 211002111.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4766398834 + ... + 4766401166.

Almost surely, 2^{11120011200000} is an apocalyptic number.

11120011200000 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 11120011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20126124954936).

11120011200000 is an abundant number, since it is smaller than the sum of its proper divisors (29132238709872).

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

11120011200000 is an frugal number, since it uses more digits than its factorization.

11120011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120011200000 its reverse (211002111), we get a palindrome (11120222202111).

The spelling of 11120011200000 in words is "eleven trillion, one hundred twenty billion, eleven million, two hundred thousand".