111221061120 has 960 divisors, whose sum is σ = 456051435840. Its totient is φ = 25735200768.

The previous prime is 111221061101. The next prime is 111221061151. The reversal of 111221061120 is 21160122111.

111221061120 is a `hidden beast` number, since 1 + 1 + 1 + 22 + 10 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 111221061093 and 111221061102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137479276 + ... + 137480084.

It is an arithmetic number, because the mean of its divisors is an integer number (475053579).

Almost surely, 2^111221061120 is an apocalyptic number.

111221061120 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 111221061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228025717920).

111221061120 is an abundant number, since it is smaller than the sum of its proper divisors (344830374720).

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

111221061120 is an equidigital number, since it uses as much as digits as its factorization.

111221061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111221061120 its reverse (21160122111), we get a palindrome (132381183231).

The spelling of 111221061120 in words is "one hundred eleven billion, two hundred twenty-one million, sixty-one thousand, one hundred twenty".