214523221200 has 240 divisors, whose sum is σ = 706063767360. Its totient is φ = 55655055360.

The previous prime is 214523221183. The next prime is 214523221201. The reversal of 214523221200 is 2122325412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214523221201) 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 47 ways as a sum of consecutive naturals, for example, 6851982 + ... + 6883218.

It is an arithmetic number, because the mean of its divisors is an integer number (2941932364).

Almost surely, 2^214523221200 is an apocalyptic number.

214523221200 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 214523221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353031883680).

214523221200 is an abundant number, since it is smaller than the sum of its proper divisors (491540546160).

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

214523221200 is a wasteful number, since it uses less digits than its factorization.

214523221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414 (or 31403 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 214523221200 its reverse (2122325412), we get a palindrome (216645546612).

The spelling of 214523221200 in words is "two hundred fourteen billion, five hundred twenty-three million, two hundred twenty-one thousand, two hundred".