114351120 has 240 divisors, whose sum is σ = 436013760. Its totient is φ = 26625024.

The previous prime is 114351119. The next prime is 114351131. The reversal of 114351120 is 21153411.

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 = 114351093 and 114351102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177519 + ... + 178161.

It is an arithmetic number, because the mean of its divisors is an integer number (1816724).

Almost surely, 2^114351120 is an apocalyptic number.

114351120 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 114351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218006880).

114351120 is an abundant number, since it is smaller than the sum of its proper divisors (321662640).

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

114351120 is a wasteful number, since it uses less digits than its factorization.

114351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114351120 is about 10693.5083111203. The cubic root of 114351120 is about 485.3780592830.

The spelling of 114351120 in words is "one hundred fourteen million, three hundred fifty-one thousand, one hundred twenty".