114430120 has 64 divisors (see below), whose sum is σ = 295344000. Its totient is φ = 39087360.

The previous prime is 114430117. The next prime is 114430123. The reversal of 114430120 is 21034411.

It is an interprime number because it is at equal distance from previous prime (114430117) and next prime (114430123).

It is a junction number, because it is equal to n+sod(n) for n = 114430094 and 114430103.

It is not an unprimeable number, because it can be changed into a prime (114430123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97135 + ... + 98305.

It is an arithmetic number, because the mean of its divisors is an integer number (4614750).

Almost surely, 2^114430120 is an apocalyptic number.

114430120 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 114430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147672000).

114430120 is an abundant number, since it is smaller than the sum of its proper divisors (180913880).

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

114430120 is a wasteful number, since it uses less digits than its factorization.

114430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114430120 is about 10697.2015031970. The cubic root of 114430120 is about 485.4898087783.

Adding to 114430120 its reverse (21034411), we get a palindrome (135464531).

The spelling of 114430120 in words is "one hundred fourteen million, four hundred thirty thousand, one hundred twenty".