114240022200 has 144 divisors (see below), whose sum is σ = 383811461280. Its totient is φ = 30451668480.

The previous prime is 114240022181. The next prime is 114240022243. The reversal of 114240022200 is 2220042411.

114240022200 is a `hidden beast` number, since 1 + 1 + 42 + 400 + 2 + 220 + 0 = 666.

114240022200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4969132 + ... + 4992068.

It is an arithmetic number, because the mean of its divisors is an integer number (2665357370).

Almost surely, 2^114240022200 is an apocalyptic number.

114240022200 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 114240022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191905730640).

114240022200 is an abundant number, since it is smaller than the sum of its proper divisors (269571439080).

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

114240022200 is a wasteful number, since it uses less digits than its factorization.

114240022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25726 (or 25714 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 114240022200 its reverse (2220042411), we get a palindrome (116460064611).

The spelling of 114240022200 in words is "one hundred fourteen billion, two hundred forty million, twenty-two thousand, two hundred".