11121411242214 has 256 divisors, whose sum is σ = 31273309992960. Its totient is φ = 2850769313280.

The previous prime is 11121411242173. The next prime is 11121411242233. The reversal of 11121411242214 is 41224211412111.

11121411242214 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 1 + 411 + 24 + 221 + 4 = 666.

11121411242214 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171058237 + ... + 171123239.

It is an arithmetic number, because the mean of its divisors is an integer number (122161367160).

Almost surely, 2^{11121411242214} is an apocalyptic number.

11121411242214 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 11121411242214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636654996480).

11121411242214 is an abundant number, since it is smaller than the sum of its proper divisors (20151898750746).

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

11121411242214 is a wasteful number, since it uses less digits than its factorization.

11121411242214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66012 (or 66006 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

Adding to 11121411242214 its reverse (41224211412111), we get a palindrome (52345622654325).

The spelling of 11121411242214 in words is "eleven trillion, one hundred twenty-one billion, four hundred eleven million, two hundred forty-two thousand, two hundred fourteen".