111221211211110 has 512 divisors, whose sum is σ = 411064394711040. Its totient is φ = 20644972070400.

The previous prime is 111221211211091. The next prime is 111221211211111. The reversal of 111221211211110 is 11112112122111.

111221211211110 is a `hidden beast` number, since 1 + 11 + 221 + 211 + 211 + 1 + 10 = 666.

111221211211110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221211211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1740969 + ... + 15015771.

It is an arithmetic number, because the mean of its divisors is an integer number (802860145920).

Almost surely, 2^{111221211211110} is an apocalyptic number.

111221211211110 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 111221211211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205532197355520).

111221211211110 is an abundant number, since it is smaller than the sum of its proper divisors (299843183499930).

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

111221211211110 is a wasteful number, since it uses less digits than its factorization.

111221211211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274881 (or 13274875 counting only the distinct ones).

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

Adding to 111221211211110 its reverse (11112112122111), we get a palindrome (122333323333221).

The spelling of 111221211211110 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred eleven thousand, one hundred ten".