114303120 has 80 divisors (see below), whose sum is σ = 355370112. Its totient is φ = 30392320.

The previous prime is 114303103. The next prime is 114303127. The reversal of 114303120 is 21303411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114303120.

It is not an unprimeable number, because it can be changed into a prime (114303127) 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, 153469 + ... + 154211.

Almost surely, 2^114303120 is an apocalyptic number.

114303120 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 114303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177685056).

114303120 is an abundant number, since it is smaller than the sum of its proper divisors (241066992).

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

114303120 is a wasteful number, since it uses less digits than its factorization.

114303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114303120 is about 10691.2637232462. The cubic root of 114303120 is about 485.3101357172.

Adding to 114303120 its reverse (21303411), we get a palindrome (135606531).

The spelling of 114303120 in words is "one hundred fourteen million, three hundred three thousand, one hundred twenty".