114240103435200 has 168 divisors, whose sum is σ = 374817085639920. Its totient is φ = 30462861516800.

The previous prime is 114240103435193. The next prime is 114240103435201. The reversal of 114240103435200 is 2534301042411.

114240103435200 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240103435201) 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 23 ways as a sum of consecutive naturals, for example, 128778766 + ... + 129662834.

It is an arithmetic number, because the mean of its divisors is an integer number (2231054081190).

Almost surely, 2^{114240103435200} is an apocalyptic number.

114240103435200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114240103435200 is an abundant number, since it is smaller than the sum of its proper divisors (260576982204720).

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

114240103435200 is a wasteful number, since it uses less digits than its factorization.

114240103435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911015 (or 911000 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114240103435200 its reverse (2534301042411), we get a palindrome (116774404477611).

The spelling of 114240103435200 in words is "one hundred fourteen trillion, two hundred forty billion, one hundred three million, four hundred thirty-five thousand, two hundred".