11120000010 has 128 divisors (see below), whose sum is σ = 30932928000. Its totient is φ = 2505907200.

The previous prime is 11119999981. The next prime is 11120000029. The reversal of 11120000010 is 1000002111.

11120000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5704516 + ... + 5706464.

It is an arithmetic number, because the mean of its divisors is an integer number (241663500).

Almost surely, 2^11120000010 is an apocalyptic number.

11120000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466464000).

11120000010 is an abundant number, since it is smaller than the sum of its proper divisors (19812927990).

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

11120000010 is a wasteful number, since it uses less digits than its factorization.

11120000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336.

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

Adding to 11120000010 its reverse (1000002111), we get a palindrome (12120002121).

It can be divided in two parts, 11 and 120000010, that added together give a palindrome (120000021).

The spelling of 11120000010 in words is "eleven billion, one hundred twenty million, ten", and thus it is an aban number.