214312224102000 has 320 divisors, whose sum is σ = 710548589836800. Its totient is φ = 55550025062400.

The previous prime is 214312224101953. The next prime is 214312224102019. The reversal of 214312224102000 is 201422213412.

It is a super-4 number, since 4×214312224102000⁴ (a number of 58 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28104867 + ... + 34907133.

It is an arithmetic number, because the mean of its divisors is an integer number (2220464343240).

Almost surely, 2^{214312224102000} is an apocalyptic number.

214312224102000 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 214312224102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355274294918400).

214312224102000 is an abundant number, since it is smaller than the sum of its proper divisors (496236365734800).

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

214312224102000 is a wasteful number, since it uses less digits than its factorization.

214312224102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802441 (or 6802425 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214312224102000 its reverse (201422213412), we get a palindrome (214513646315412).

The spelling of 214312224102000 in words is "two hundred fourteen trillion, three hundred twelve billion, two hundred twenty-four million, one hundred two thousand".