114201120 has 192 divisors, whose sum is σ = 402361344. Its totient is φ = 26987520.

The previous prime is 114201119. The next prime is 114201137. The reversal of 114201120 is 21102411.

It is a happy number.

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 = 114201096 and 114201105.

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 31 ways as a sum of consecutive naturals, for example, 226789 + ... + 227291.

It is an arithmetic number, because the mean of its divisors is an integer number (2095632).

Almost surely, 2^114201120 is an apocalyptic number.

114201120 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 114201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

114201120 is an abundant number, since it is smaller than the sum of its proper divisors (288160224).

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

114201120 is a wasteful number, since it uses less digits than its factorization.

114201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114201120 is about 10686.4924086437. The cubic root of 114201120 is about 485.1657349763.

Adding to 114201120 its reverse (21102411), we get a palindrome (135303531).

The spelling of 114201120 in words is "one hundred fourteen million, two hundred one thousand, one hundred twenty".