114171120 has 240 divisors, whose sum is σ = 454970880. Its totient is φ = 26065152.

The previous prime is 114171119. The next prime is 114171121. The reversal of 114171120 is 21171411.

It is an interprime number because it is at equal distance from previous prime (114171119) and next prime (114171121).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 114171093 and 114171102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114171121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135661 + ... + 136499.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^114171120 is an apocalyptic number.

114171120 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 114171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

114171120 is an abundant number, since it is smaller than the sum of its proper divisors (340799760).

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

114171120 is an equidigital number, since it uses as much as digits as its factorization.

114171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 114171120 is about 10685.0886753457. The cubic root of 114171120 is about 485.1232478076.

The spelling of 114171120 in words is "one hundred fourteen million, one hundred seventy-one thousand, one hundred twenty".