11111310120 has 64 divisors (see below), whose sum is σ = 34783240320. Its totient is φ = 2834188544.

The previous prime is 11111310101. The next prime is 11111310157. The reversal of 11111310120 is 2101311111.

It is a super-2 number, since 2×11111310120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11111310096 and 11111310105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010159 + ... + 2015678.

It is an arithmetic number, because the mean of its divisors is an integer number (543488130).

Almost surely, 2^11111310120 is an apocalyptic number.

11111310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111310120 is an abundant number, since it is smaller than the sum of its proper divisors (23671930200).

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

11111310120 is a wasteful number, since it uses less digits than its factorization.

11111310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025874 (or 4025870 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11111310120 its reverse (2101311111), we get a palindrome (13212621231).

Subtracting from 11111310120 its reverse (2101311111), we obtain a palindrome (9009999009).

The spelling of 11111310120 in words is "eleven billion, one hundred eleven million, three hundred ten thousand, one hundred twenty".