114243053124200 has 768 divisors, whose sum is σ = 369184210698240. Its totient is φ = 31718117376000.

The previous prime is 114243053124173. The next prime is 114243053124283. The reversal of 114243053124200 is 2421350342411.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2190762527 + ... + 2190814673.

It is an arithmetic number, because the mean of its divisors is an integer number (480708607680).

Almost surely, 2^{114243053124200} is an apocalyptic number.

114243053124200 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 114243053124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184592105349120).

114243053124200 is an abundant number, since it is smaller than the sum of its proper divisors (254941157574040).

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

114243053124200 is a wasteful number, since it uses less digits than its factorization.

114243053124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52578 (or 52569 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 114243053124200 in words is "one hundred fourteen trillion, two hundred forty-three billion, fifty-three million, one hundred twenty-four thousand, two hundred".