114113120 has 96 divisors (see below), whose sum is σ = 306996480. Its totient is φ = 39677440.

The previous prime is 114113119. The next prime is 114113137. The reversal of 114113120 is 21311411.

It is a super-2 number, since 2×114113120² = 26043608312268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114113095 and 114113104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39071 + ... + 41889.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^114113120 is an apocalyptic number.

114113120 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 114113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240).

114113120 is an abundant number, since it is smaller than the sum of its proper divisors (192883360).

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

114113120 is a wasteful number, since it uses less digits than its factorization.

114113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 114113120 is about 10682.3742679238. The cubic root of 114113120 is about 485.0410848393.

Adding to 114113120 its reverse (21311411), we get a palindrome (135424531).

The spelling of 114113120 in words is "one hundred fourteen million, one hundred thirteen thousand, one hundred twenty".