214301322200000 has 672 divisors, whose sum is σ = 630918478632960. Its totient is φ = 70691328000000.

The previous prime is 214301322199901. The next prime is 214301322200033. The reversal of 214301322200000 is 2223103412.

214301322200000 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3882172400 + ... + 3882227600.

It is an arithmetic number, because the mean of its divisors is an integer number (938866783680).

Almost surely, 2^{214301322200000} is an apocalyptic number.

214301322200000 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 214301322200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315459239316480).

214301322200000 is an abundant number, since it is smaller than the sum of its proper divisors (416617156432960).

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

214301322200000 is an frugal number, since it uses more digits than its factorization.

214301322200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55351 (or 55321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 214301322200000 its reverse (2223103412), we get a palindrome (214303545303412).

The spelling of 214301322200000 in words is "two hundred fourteen trillion, three hundred one billion, three hundred twenty-two million, two hundred thousand".