11114312342120 has 256 divisors, whose sum is σ = 28440368006400. Its totient is φ = 3875150315520.

The previous prime is 11114312342117. The next prime is 11114312342129. The reversal of 11114312342120 is 2124321341111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11114312342120.

It is not an unprimeable number, because it can be changed into a prime (11114312342129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5335722599 + ... + 5335724681.

It is an arithmetic number, because the mean of its divisors is an integer number (111095187525).

Almost surely, 2^{11114312342120} is an apocalyptic number.

11114312342120 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 11114312342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220184003200).

11114312342120 is an abundant number, since it is smaller than the sum of its proper divisors (17326055664280).

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

11114312342120 is a wasteful number, since it uses less digits than its factorization.

11114312342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 11114312342120 its reverse (2124321341111), we get a palindrome (13238633683231).

The spelling of 11114312342120 in words is "eleven trillion, one hundred fourteen billion, three hundred twelve million, three hundred forty-two thousand, one hundred twenty".