221211300000 has 432 divisors, whose sum is σ = 767901163680. Its totient is φ = 55601280000.

The previous prime is 221211299999. The next prime is 221211300017. The reversal of 221211300000 is 3112122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1122899902 + ... + 1122900098.

It is an arithmetic number, because the mean of its divisors is an integer number (1777548990).

Almost surely, 2^221211300000 is an apocalyptic number.

221211300000 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 221211300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383950581840).

221211300000 is an abundant number, since it is smaller than the sum of its proper divisors (546689863680).

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

221211300000 is an frugal number, since it uses more digits than its factorization.

221211300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221211300000 its reverse (3112122), we get a palindrome (221214412122).

The spelling of 221211300000 in words is "two hundred twenty-one billion, two hundred eleven million, three hundred thousand".