114413003422120 has 256 divisors, whose sum is σ = 283184900006400. Its totient is φ = 41344775516160.

The previous prime is 114413003422103. The next prime is 114413003422127. The reversal of 114413003422120 is 21224300314411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114413003422127) 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 63 ways as a sum of consecutive naturals, for example, 14433325597 + ... + 14433333523.

It is an arithmetic number, because the mean of its divisors is an integer number (1106191015650).

Almost surely, 2^{114413003422120} is an apocalyptic number.

114413003422120 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 114413003422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141592450003200).

114413003422120 is an abundant number, since it is smaller than the sum of its proper divisors (168771896584280).

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

114413003422120 is a wasteful number, since it uses less digits than its factorization.

114413003422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114413003422120 its reverse (21224300314411), we get a palindrome (135637303736531).

The spelling of 114413003422120 in words is "one hundred fourteen trillion, four hundred thirteen billion, three million, four hundred twenty-two thousand, one hundred twenty".