12111081120 has 432 divisors, whose sum is σ = 43746000480. Its totient is φ = 3167755776.

The previous prime is 12111081091. The next prime is 12111081127. The reversal of 12111081120 is 2118011121.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 12111081093 and 12111081102.

It is not an unprimeable number, because it can be changed into a prime (12111081127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87130011 + ... + 87130149.

It is an arithmetic number, because the mean of its divisors is an integer number (101263890).

Almost surely, 2^12111081120 is an apocalyptic number.

12111081120 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 12111081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873000240).

12111081120 is an abundant number, since it is smaller than the sum of its proper divisors (31634919360).

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

12111081120 is an frugal number, since it uses more digits than its factorization.

12111081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

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

Adding to 12111081120 its reverse (2118011121), we get a palindrome (14229092241).

The spelling of 12111081120 in words is "twelve billion, one hundred eleven million, eighty-one thousand, one hundred twenty".