214241121244200 has 384 divisors, whose sum is σ = 684927536832000. Its totient is φ = 55367906918400.

The previous prime is 214241121244187. The next prime is 214241121244207. The reversal of 214241121244200 is 2442121142412.

214241121244200 is digitally balanced in base 2, 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 (30).

It is not an unprimeable number, because it can be changed into a prime (214241121244207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5130151320 + ... + 5130193080.

It is an arithmetic number, because the mean of its divisors is an integer number (1783665460500).

Almost surely, 2^{214241121244200} is an apocalyptic number.

214241121244200 is a gapful number since it is divisible by the number (20) 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 214241121244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342463768416000).

214241121244200 is an abundant number, since it is smaller than the sum of its proper divisors (470686415587800).

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

214241121244200 is a wasteful number, since it uses less digits than its factorization.

214241121244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43605 (or 43596 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 214241121244200 its reverse (2442121142412), we get a palindrome (216683242386612).

The spelling of 214241121244200 in words is "two hundred fourteen trillion, two hundred forty-one billion, one hundred twenty-one million, two hundred forty-four thousand, two hundred".