111122420410134 has 288 divisors, whose sum is σ = 298542690182880. Its totient is φ = 29680879527936.

The previous prime is 111122420410097. The next prime is 111122420410181. The reversal of 111122420410134 is 431014024221111.

111122420410134 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 242 + 0 + 410 + 1 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111122420410098 and 111122420410107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8561702457 + ... + 8561715435.

It is an arithmetic number, because the mean of its divisors is an integer number (1036606563135).

Almost surely, 2^{111122420410134} is an apocalyptic number.

111122420410134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122420410134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149271345091440).

111122420410134 is an abundant number, since it is smaller than the sum of its proper divisors (187420269772746).

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

111122420410134 is a wasteful number, since it uses less digits than its factorization.

111122420410134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16812 (or 16802 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 111122420410134 its reverse (431014024221111), we get a palindrome (542136444631245).

The spelling of 111122420410134 in words is "one hundred eleven trillion, one hundred twenty-two billion, four hundred twenty million, four hundred ten thousand, one hundred thirty-four".