11000001120 has 48 divisors (see below), whose sum is σ = 34650005040. Its totient is φ = 2933333504.

The previous prime is 11000001109. The next prime is 11000001121. The reversal of 11000001120 is 2110000011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 11000001099 and 11000001108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11457855 + ... + 11458814.

It is an arithmetic number, because the mean of its divisors is an integer number (721875105).

Almost surely, 2^11000001120 is an apocalyptic number.

11000001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000001120 is an abundant number, since it is smaller than the sum of its proper divisors (23650003920).

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

11000001120 is a wasteful number, since it uses less digits than its factorization.

11000001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916687 (or 22916679 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11000001120 its reverse (2110000011), we get a palindrome (13110001131).

The spelling of 11000001120 in words is "eleven billion, one thousand, one hundred twenty".