114081120 has 144 divisors (see below), whose sum is σ = 392137200. Its totient is φ = 30200832.

The previous prime is 114081119. The next prime is 114081131. The reversal of 114081120 is 21180411.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 114081093 and 114081102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326706 + ... + 327054.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^114081120 is an apocalyptic number.

114081120 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 114081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

114081120 is an abundant number, since it is smaller than the sum of its proper divisors (278056080).

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

114081120 is a wasteful number, since it uses less digits than its factorization.

114081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 114081120 is about 10680.8763685383. The cubic root of 114081120 is about 484.9957416284.

The spelling of 114081120 in words is "one hundred fourteen million, eighty-one thousand, one hundred twenty".