210221211200000 has 2880 divisors, whose sum is σ = 760385083239936. Its totient is φ = 56873779200000.

The previous prime is 210221211199963. The next prime is 210221211200027. The reversal of 210221211200000 is 2112122012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190590399449 + ... + 190590400551.

Almost surely, 2^{210221211200000} is an apocalyptic number.

210221211200000 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 210221211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380192541619968).

210221211200000 is an abundant number, since it is smaller than the sum of its proper divisors (550163872039936).

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

210221211200000 is a wasteful number, since it uses less digits than its factorization.

210221211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210221211200000 its reverse (2112122012), we get a palindrome (210223323322012).

The spelling of 210221211200000 in words is "two hundred ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred thousand".