114630120 has 128 divisors (see below), whose sum is σ = 416880000. Its totient is φ = 27786240.

The previous prime is 114630077. The next prime is 114630143. The reversal of 114630120 is 21036411.

It is a happy number.

114630120 is a `hidden beast` number, since 1 + 14 + 630 + 1 + 20 = 666.

It is a super-2 number, since 2×114630120² = 26280128822428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114630093 and 114630102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7056 + ... + 16704.

It is an arithmetic number, because the mean of its divisors is an integer number (3256875).

Almost surely, 2^114630120 is an apocalyptic number.

114630120 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 114630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208440000).

114630120 is an abundant number, since it is smaller than the sum of its proper divisors (302249880).

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

114630120 is a wasteful number, since it uses less digits than its factorization.

114630120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114630120 is about 10706.5456614167. The cubic root of 114630120 is about 485.7724891530.

Adding to 114630120 its reverse (21036411), we get a palindrome (135666531).

The spelling of 114630120 in words is "one hundred fourteen million, six hundred thirty thousand, one hundred twenty".