111122111100000 has 4608 divisors, whose sum is σ = 513365230522368. Its totient is φ = 20304691200000.

The previous prime is 111122111099981. The next prime is 111122111100001. The reversal of 111122111100000 is 1111221111.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122111100001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 811110299932 + ... + 811110300068.

It is an arithmetic number, because the mean of its divisors is an integer number (111407385096).

Almost surely, 2^{111122111100000} is an apocalyptic number.

111122111100000 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 111122111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256682615261184).

111122111100000 is an abundant number, since it is smaller than the sum of its proper divisors (402243119422368).

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

111122111100000 is a wasteful number, since it uses less digits than its factorization.

111122111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111122111100000 its reverse (1111221111), we get a palindrome (111123222321111).

111122111100000 divided by its reverse (1111221111) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 111122111 and 100000, that added together give a palindrome (111222111).

The spelling of 111122111100000 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand".