114111120 has 80 divisors (see below), whose sum is σ = 360459072. Its totient is φ = 29852160.

The previous prime is 114111103. The next prime is 114111149. The reversal of 114111120 is 21111411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 114111096 and 114111105.

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, 8235 + ... + 17205.

Almost surely, 2^114111120 is an apocalyptic number.

114111120 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 114111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180229536).

114111120 is an abundant number, since it is smaller than the sum of its proper divisors (246347952).

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

114111120 is a wasteful number, since it uses less digits than its factorization.

114111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 114111120 is about 10682.2806553657. The cubic root of 114111120 is about 485.0382511369.

Adding to 114111120 its reverse (21111411), we get a palindrome (135222531).

The spelling of 114111120 in words is "one hundred fourteen million, one hundred eleven thousand, one hundred twenty".