11120001102000 has 720 divisors, whose sum is σ = 45215841483072. Its totient is φ = 2539666483200.

The previous prime is 11120001101999. The next prime is 11120001102019. The reversal of 11120001102000 is 20110002111.

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 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, 1276249644 + ... + 1276258356.

Almost surely, 2^{11120001102000} is an apocalyptic number.

11120001102000 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 11120001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607920741536).

11120001102000 is an abundant number, since it is smaller than the sum of its proper divisors (34095840381072).

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

11120001102000 is a wasteful number, since it uses less digits than its factorization.

11120001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10203 (or 10177 counting only the distinct ones).

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

Adding to 11120001102000 its reverse (20110002111), we get a palindrome (11140111104111).

The spelling of 11120001102000 in words is "eleven trillion, one hundred twenty billion, one million, one hundred two thousand".