114224123043300 has 144 divisors (see below), whose sum is σ = 331229511954432. Its totient is φ = 30391479888000.

The previous prime is 114224123043263. The next prime is 114224123043313. The reversal of 114224123043300 is 3340321422411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618259809 + ... + 1618330391.

It is an arithmetic number, because the mean of its divisors is an integer number (2300204944128).

Almost surely, 2^{114224123043300} is an apocalyptic number.

114224123043300 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 114224123043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614755977216).

114224123043300 is an abundant number, since it is smaller than the sum of its proper divisors (217005388911132).

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

114224123043300 is a wasteful number, since it uses less digits than its factorization.

114224123043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82618 (or 82611 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114224123043300 its reverse (3340321422411), we get a palindrome (117564444465711).

The spelling of 114224123043300 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred twenty-three million, forty-three thousand, three hundred".