114201220 has 48 divisors (see below), whose sum is σ = 279272448. Its totient is φ = 38413440.

The previous prime is 114201209. The next prime is 114201221. The reversal of 114201220 is 22102411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114201220.

It is not an unprimeable number, because it can be changed into a prime (114201221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 15115.

It is an arithmetic number, because the mean of its divisors is an integer number (5818176).

Almost surely, 2^114201220 is an apocalyptic number.

114201220 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 114201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

114201220 is an abundant number, since it is smaller than the sum of its proper divisors (165071228).

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

114201220 is a wasteful number, since it uses less digits than its factorization.

114201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114201220 is about 10686.4970874464. The cubic root of 114201220 is about 485.1658765877.

Adding to 114201220 its reverse (22102411), we get a palindrome (136303631).

The spelling of 114201220 in words is "one hundred fourteen million, two hundred one thousand, two hundred twenty".