114313120 has 96 divisors (see below), whose sum is σ = 293690880. Its totient is φ = 41886720.

The previous prime is 114313097. The next prime is 114313123. The reversal of 114313120 is 21313411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 114313094 and 114313103.

It is not an unprimeable number, because it can be changed into a prime (114313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93634 + ... + 94846.

It is an arithmetic number, because the mean of its divisors is an integer number (3059280).

Almost surely, 2^114313120 is an apocalyptic number.

114313120 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 114313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146845440).

114313120 is an abundant number, since it is smaller than the sum of its proper divisors (179377760).

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

114313120 is a wasteful number, since it uses less digits than its factorization.

114313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 114313120 is about 10691.7313845794. The cubic root of 114313120 is about 485.3242880280.

Adding to 114313120 its reverse (21313411), we get a palindrome (135626531).

The spelling of 114313120 in words is "one hundred fourteen million, three hundred thirteen thousand, one hundred twenty".