114234120 has 384 divisors, whose sum is σ = 500048640. Its totient is φ = 21841920.

The previous prime is 114234119. The next prime is 114234121. The reversal of 114234120 is 21432411.

It is an interprime number because it is at equal distance from previous prime (114234119) and next prime (114234121).

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 = 114234093 and 114234102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114234121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360202 + ... + 360518.

It is an arithmetic number, because the mean of its divisors is an integer number (1302210).

Almost surely, 2^114234120 is an apocalyptic number.

114234120 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 114234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

114234120 is an abundant number, since it is smaller than the sum of its proper divisors (385814520).

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

114234120 is a wasteful number, since it uses less digits than its factorization.

114234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

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

The square root of 114234120 is about 10688.0363023336. The cubic root of 114234120 is about 485.2124622686.

Adding to 114234120 its reverse (21432411), we get a palindrome (135666531).

The spelling of 114234120 in words is "one hundred fourteen million, two hundred thirty-four thousand, one hundred twenty".