11201000112000 has 320 divisors, whose sum is σ = 41600830368240. Its totient is φ = 2986933017600.

The previous prime is 11201000111999. The next prime is 11201000112007. The reversal of 11201000112000 is 21100010211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201000112007) 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, 3025374 + ... + 5617373.

Almost surely, 2^{11201000112000} is an apocalyptic number.

11201000112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201000112000 is an abundant number, since it is smaller than the sum of its proper divisors (30399830256240).

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

11201000112000 is an frugal number, since it uses more digits than its factorization.

11201000112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642788 (or 8642757 counting only the distinct ones).

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

Adding to 11201000112000 its reverse (21100010211), we get a palindrome (11222100122211).

The spelling of 11201000112000 in words is "eleven trillion, two hundred one billion, one hundred twelve thousand".