114220120 has 64 divisors (see below), whose sum is σ = 303206400. Its totient is φ = 37895040.

The previous prime is 114220097. The next prime is 114220133. The reversal of 114220120 is 21022411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 15259.

It is an arithmetic number, because the mean of its divisors is an integer number (4737600).

Almost surely, 2^114220120 is an apocalyptic number.

114220120 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 114220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151603200).

114220120 is an abundant number, since it is smaller than the sum of its proper divisors (188986280).

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

114220120 is a wasteful number, since it uses less digits than its factorization.

114220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114220120 is about 10687.3813443706. The cubic root of 114220120 is about 485.1926396680.

Adding to 114220120 its reverse (21022411), we get a palindrome (135242531).

The spelling of 114220120 in words is "one hundred fourteen million, two hundred twenty thousand, one hundred twenty".