114321120 has 192 divisors, whose sum is σ = 381278016. Its totient is φ = 28753920.

The previous prime is 114321071. The next prime is 114321121. The reversal of 114321120 is 21123411.

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 114321120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114321121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728082 + ... + 728238.

It is an arithmetic number, because the mean of its divisors is an integer number (1985823).

Almost surely, 2^114321120 is an apocalyptic number.

114321120 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 114321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190639008).

114321120 is an abundant number, since it is smaller than the sum of its proper divisors (266956896).

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

114321120 is a wasteful number, since it uses less digits than its factorization.

114321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114321120 is about 10692.1054989183. The cubic root of 114321120 is about 485.3356092824.

Adding to 114321120 its reverse (21123411), we get a palindrome (135444531).

The spelling of 114321120 in words is "one hundred fourteen million, three hundred twenty-one thousand, one hundred twenty".