11111022120 has 128 divisors (see below), whose sum is σ = 36723818880. Its totient is φ = 2666880000.

The previous prime is 11111022113. The next prime is 11111022121. The reversal of 11111022120 is 2122011111.

It is a super-2 number, since 2×11111022120² (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 = 11111022096 and 11111022105.

It is not an unprimeable number, because it can be changed into a prime (11111022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91650 + ... + 174990.

It is an arithmetic number, because the mean of its divisors is an integer number (286904835).

Almost surely, 2^11111022120 is an apocalyptic number.

11111022120 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 11111022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361909440).

11111022120 is an abundant number, since it is smaller than the sum of its proper divisors (25612796760).

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

11111022120 is a wasteful number, since it uses less digits than its factorization.

11111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83467 (or 83463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11111022120 its reverse (2122011111), we get a palindrome (13233033231).

The spelling of 11111022120 in words is "eleven billion, one hundred eleven million, twenty-two thousand, one hundred twenty".