11110012211120 has 80 divisors (see below), whose sum is σ = 26062361553888. Its totient is φ = 4404252303360.

The previous prime is 11110012211119. The next prime is 11110012211141. The reversal of 11110012211120 is 2111221001111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11110012211120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11110012211095 and 11110012211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7233152 + ... + 8633568.

Almost surely, 2^{11110012211120} is an apocalyptic number.

11110012211120 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 11110012211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031180776944).

11110012211120 is an abundant number, since it is smaller than the sum of its proper divisors (14952349342768).

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

11110012211120 is a wasteful number, since it uses less digits than its factorization.

11110012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401318 (or 1401312 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11110012211120 its reverse (2111221001111), we get a palindrome (13221233212231).

The spelling of 11110012211120 in words is "eleven trillion, one hundred ten billion, twelve million, two hundred eleven thousand, one hundred twenty".