114210340200 has 288 divisors, whose sum is σ = 433924414560. Its totient is φ = 27687225600.

The previous prime is 114210340183. The next prime is 114210340201. The reversal of 114210340200 is 2043012411.

114210340200 is a `hidden beast` number, since 1 + 1 + 421 + 0 + 3 + 40 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114210340201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427782 + ... + 641418.

It is an arithmetic number, because the mean of its divisors is an integer number (1506681995).

Almost surely, 2^114210340200 is an apocalyptic number.

114210340200 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 114210340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216962207280).

114210340200 is an abundant number, since it is smaller than the sum of its proper divisors (319714074360).

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

114210340200 is a wasteful number, since it uses less digits than its factorization.

114210340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213679 (or 213658 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114210340200 its reverse (2043012411), we get a palindrome (116253352611).

The spelling of 114210340200 in words is "one hundred fourteen billion, two hundred ten million, three hundred forty thousand, two hundred".