114242240000 has 200 divisors, whose sum is σ = 325989687408. Its totient is φ = 39168000000.

The previous prime is 114242239981. The next prime is 114242240003. The reversal of 114242240000 is 42242411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114242240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2214500 + ... + 2265500.

Almost surely, 2^114242240000 is an apocalyptic number.

114242240000 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 114242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162994843704).

114242240000 is an abundant number, since it is smaller than the sum of its proper divisors (211747447408).

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

114242240000 is an frugal number, since it uses more digits than its factorization.

114242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51046 (or 51015 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 114242240000 its reverse (42242411), we get a palindrome (114284482411).

The spelling of 114242240000 in words is "one hundred fourteen billion, two hundred forty-two million, two hundred forty thousand".