11112112008 has 128 divisors (see below), whose sum is σ = 31326624000. Its totient is φ = 3694735296.

The previous prime is 11112112007. The next prime is 11112112009. The reversal of 11112112008 is 80021121111.

11112112008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11112112007) and next prime (11112112009).

It is a super-5 number, since 5×11112112008⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11112112001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13244053 + ... + 13244891.

It is an arithmetic number, because the mean of its divisors is an integer number (244739250).

Almost surely, 2^11112112008 is an apocalyptic number.

11112112008 is a gapful number since it is divisible by the number (18) 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 11112112008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663312000).

11112112008 is an abundant number, since it is smaller than the sum of its proper divisors (20214511992).

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

11112112008 is an frugal number, since it uses more digits than its factorization.

11112112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11112112008 its reverse (80021121111), we get a palindrome (91133233119).

The spelling of 11112112008 in words is "eleven billion, one hundred twelve million, one hundred twelve thousand, eight".