114243120 has 120 divisors (see below), whose sum is σ = 387711792. Its totient is φ = 30144000.

The previous prime is 114243119. The next prime is 114243121. The reversal of 114243120 is 21342411.

It is an interprime number because it is at equal distance from previous prime (114243119) and next prime (114243121).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 114243093 and 114243102.

It is not an unprimeable number, because it can be changed into a prime (114243121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71935 + ... + 73505.

Almost surely, 2^114243120 is an apocalyptic number.

114243120 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 114243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193855896).

114243120 is an abundant number, since it is smaller than the sum of its proper divisors (273468672).

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

114243120 is a wasteful number, since it uses less digits than its factorization.

114243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114243120 is about 10688.4573255452. The cubic root of 114243120 is about 485.2252045137.

Adding to 114243120 its reverse (21342411), we get a palindrome (135585531).

The spelling of 114243120 in words is "one hundred fourteen million, two hundred forty-three thousand, one hundred twenty".