111122112211110 has 1296 divisors, whose sum is σ = 408075074224272. Its totient is φ = 20735979264000.

The previous prime is 111122112211091. The next prime is 111122112211151. The reversal of 111122112211110 is 11112211221111.

111122112211110 is a `hidden beast` number, since 1 + 111 + 221 + 1 + 221 + 1 + 110 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 11223317160 + ... + 11223327060.

It is an arithmetic number, because the mean of its divisors is an integer number (314872742457).

Almost surely, 2^{111122112211110} is an apocalyptic number.

111122112211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122112211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204037537112136).

111122112211110 is an abundant number, since it is smaller than the sum of its proper divisors (296952962013162).

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

111122112211110 is a wasteful number, since it uses less digits than its factorization.

111122112211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 111122112211110 its reverse (11112211221111), we get a palindrome (122234323432221).

It can be divided in two parts, 1111221 and 12211110, that added together give a palindrome (13322331).

The spelling of 111122112211110 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred ten".