114303034305120 has 384 divisors, whose sum is σ = 366357246216192. Its totient is φ = 29951926272000.

The previous prime is 114303034305013. The next prime is 114303034305127. The reversal of 114303034305120 is 21503430303411.

It is a happy number.

It is a super-2 number, since 2×114303034305120² (a number of 29 digits) contains 22 as substring.

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 (114303034305127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27496518082 + ... + 27496522238.

It is an arithmetic number, because the mean of its divisors is an integer number (954055328688).

Almost surely, 2^{114303034305120} is an apocalyptic number.

114303034305120 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 114303034305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183178623108096).

114303034305120 is an abundant number, since it is smaller than the sum of its proper divisors (252054211911072).

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

114303034305120 is a wasteful number, since it uses less digits than its factorization.

114303034305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 114303034305120 its reverse (21503430303411), we get a palindrome (135806464608531).

The spelling of 114303034305120 in words is "one hundred fourteen trillion, three hundred three billion, thirty-four million, three hundred five thousand, one hundred twenty".